742
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1296
- Proper Divisor Sum (Aliquot Sum)
- 554
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 312
- Möbius Function
- -1
- Radical
- 742
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 46
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- siebenhundertzweiundvierzig· ordinal: siebenhundertzweiundvierzigste
- English
- seven hundred forty-two· ordinal: seven hundred forty-second
- Spanish
- setecientos cuarenta y dos· ordinal: 742º
- French
- sept cent quarante-deux· ordinal: sept cent quarante-deuxième
- Italian
- settecentoquarantadue· ordinal: 742º
- Latin
- septingenti quadraginta duo· ordinal: 742.
- Portuguese
- setecentos e quarenta e dois· ordinal: 742º
Appears in sequences
- Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts.at n=38A000124
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=14A001107
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=34A001682
- Number of integer points in a certain quadrilateral scaled by a factor of n.at n=40A002789
- Numbers that are the sum of 10 positive 5th powers.at n=30A003355
- Pentagonal numbers written backwards.at n=13A004163
- Shifts one place left under 3rd-order binomial transform.at n=5A004212
- Numbers whose sum of divisors is a square.at n=33A006532
- Icosahedral numbers: a(n) = n*(5*n^2 - 5*n + 2)/2.at n=6A006564
- Primitive repfigit numbers.at n=6A006576
- Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers).at n=7A007629
- Number of n step self-avoiding walks on 3 X infinity grid starting from (0,1).at n=8A007825
- Coordination sequence T3 for Zeolite Code AFO.at n=18A008017
- Coordination sequence T2 for Zeolite Code DDR.at n=17A008072
- Coordination sequence T3 for Zeolite Code MTT.at n=17A008191
- Coordination sequence T1 for Zeolite Code MTW.at n=18A008196
- Coordination sequence T7 for Zeolite Code PAU.at n=20A008225
- Coordination sequence T4 for Zeolite Code TON.at n=17A008244
- Expansion of e.g.f. cos(sinh(x)*exp(x)).at n=7A009061
- Expansion of e.g.f. cos(tanh(x)*exp(x)).at n=7A009092