Googology Wiki
Advertisement
Googology Wiki

Seventy-sevens is equal to \(7 \lfloor 10^{70} / 9\rfloor\), or 70 copies of 7:[1]

7,777,777,777,777,777,777,777,777,777,777,777,777,777,777,777,777,777,777,777,777,777,777,777 or metamathematically with interior superscription as \(7^{68}7\)
googology

Its prime factorization is 7 × 11 × 41 × 71 × 239 × 271 × 4,649 × 9,091 × 123,551 × 909,091 × 4,147,571 × 102,598,800,232,111,471 × 265,212,793,249,617,641.

Approximations

Notation Lower bound Upper bound
Scientific notation \(7.777\times10^{69}\) \(7.778\times10^{69}\)
Arrow notation \(69\uparrow38\) \(5\uparrow100\)
Steinhaus-Moser Notation 42[3] 43[3]
Copy notation 7[70]
Taro's multivariable Ackermann function A(3,229) A(3,230)
Pound-Star Notation #*(7,10,8,3,0,2)*8 #*(8,10,8,3,0,2)*8
BEAF {69,38} {5,100}
Hyper-E notation 7E69 E[5]100
Bashicu matrix system (0)(0)(0)(0)[23344] (0)(0)(0)(0)[23345]
Hyperfactorial array notation 53! 54!
Fast-growing hierarchy \(f_2(224)\) \(f_2(225)\)
Hardy hierarchy \(H_{\omega^2}(224)\) \(H_{\omega^2}(225)\)
Slow-growing hierarchy \(g_{\omega^{38}10}(65)\) \(g_{\omega^{37}2}(76)\)

Sources

  1. Halm, Michael Joseph. neologisms. Archived from the original on 2014-02-19. Retrieved 2018-02-26.

See also

Repdigit googologisms
Numbers by André Joyce

Repunits: twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights · twelvety-twelves
Googo- series: googoli · googoliji · googoliv · googolv · googolvi · googolvij · googolix · googolex · googoc · googoci · googocci · googoccic · googoxem · googolmox · googomump ·
Googoo- series: googool · googoolxiv · googoolxix · googoocxexviji · googood · googoodij · googoodiv · googoodvi · googoodvij · googoodix · googoodxi
Googgoo- series: googgol · googgool · geegeel · geeggeel · geiggeil · geiggeim
Googolplux series: googolplux · googolpluc · googolplum
Bowers' numbers attempts: Joycian gaggol · Joycian gygol · Joycian gagol · Joyce's tetratri · Joyce's pentatri · Joycian grand tridecal · Joycian dimentri · Joycian dulatri · Joycian trimentri · Joycian decaltrix
Archive André Joyce archive

Advertisement