797
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 798
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 796
- Möbius Function
- -1
- Radical
- 797
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 121
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 139
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- siebenhundertsiebenundneunzig· ordinal: siebenhundertsiebenundneunzigste
- English
- seven hundred ninety-seven· ordinal: seven hundred ninety-seventh
- Spanish
- setecientos noventa y siete· ordinal: 797º
- French
- sept cent quatre-vingt-dix-sept· ordinal: sept cent quatre-vingt-dix-septième
- Italian
- settecentonovantasette· ordinal: 797º
- Latin
- septingenti nonaginta septem· ordinal: 797.
- Portuguese
- setecentos e noventa e sete· ordinal: 797º
Appears in sequences
- Number of bipartite partitions of n white objects and 2 black ones.at n=12A000291
- Number of points of norm <= n^2 in square lattice.at n=16A000328
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=52A000928
- Primes with primitive root 2.at n=56A001122
- a(n) is the solution to the postage stamp problem with 5 denominations and n stamps.at n=8A001210
- Number of functional digraphs (digraphs of functions on n nodes where every node has outdegree 1 and loops of length 1 are forbidden).at n=9A001373
- Number of connected graphs with n nodes and n+1 edges.at n=8A001435
- Number of stacks, or arrangements of n pennies in contiguous rows, each touching 2 in row below.at n=20A001524
- Palindromic primes: prime numbers whose decimal expansion is a palindrome.at n=17A002385
- Numbers that are the sum of 9 positive 5th powers.at n=29A003354
- Numbers that are the sum of 6 positive 6th powers.at n=8A003362
- Divisible only by primes congruent to 6 mod 7.at n=24A004624
- Numbers that are the sum of at most 6 nonzero 6th powers.at n=38A004857
- Numbers that are the sum of at most 7 nonzero 6th powers.at n=47A004858
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=4A004966
- Class 3+ primes (for definition see A005105).at n=46A005107
- Class 4- primes (for definition see A005109).at n=14A005112
- a(n) = solution to the postage stamp problem with n denominations and 9 stamps.at n=4A005344
- Number of sensed 3-connected planar maps with n edges.at n=10A005645
- Positions of remoteness 4 in Beans-Don't-Talk.at n=13A005696