791
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 912
- Proper Divisor Sum (Aliquot Sum)
- 121
- 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
- 672
- Möbius Function
- 1
- Radical
- 791
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 77
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Names
- German
- siebenhunderteinundneunzig· ordinal: siebenhunderteinundneunzigste
- English
- seven hundred ninety-one· ordinal: seven hundred ninety-first
- Spanish
- setecientos noventa y uno· ordinal: 791º
- French
- sept cent quatre-vingt-onze· ordinal: sept cent quatre-vingt-onzième
- Italian
- settecentonovantuno· ordinal: 791º
- Latin
- septingenti nonaginta unus· ordinal: 791.
- Portuguese
- setecentos e noventa e um· ordinal: 791º
Appears in sequences
- -1 + number of partitions of n.at n=21A000065
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^6)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^60).at n=30A001365
- Expansion of 1/((1+x)*(1-x)^6).at n=8A001753
- Number of partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=17A001976
- Möbius transform of A003964.at n=70A003978
- Primes written backwards.at n=44A004087
- Centered tetrahedral numbers.at n=10A005894
- Sum of the first n primes.at n=22A007504
- Coordination sequence T2 for Zeolite Code BOG.at n=20A008050
- Coordination sequence T1 for Zeolite Code CAS.at n=17A008063
- Number of partitions of n into parts >= 4.at n=41A008484
- Coordination sequence T1 for Zeolite Code -CLO.at n=25A009850
- Coordination sequence T1 for Zeolite Code AHT.at n=19A009866
- Coordination sequence T1 for Zeolite Code CON.at n=20A009868
- Integers that are squarefree and also the sum of first k squarefrees for some k.at n=18A013932
- Subtract 1 from Pascal's triangle, read by rows.at n=61A014430
- Subtract 1 from Pascal's triangle, read by rows.at n=59A014430
- Number of partitions of n into its divisors that are powers of primes (A000961) with at least one part of size 1.at n=53A014650
- Seven iterations of Reverse and Add are needed to reach a palindrome.at n=14A015986
- Number of elements in the set {(x,y): 1 <= x,y <= n, gcd(x,y)=1}.at n=35A018805