2957
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2958
- 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
- 2956
- Möbius Function
- -1
- Radical
- 2957
- 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
- 22
- Smith Number
- no
- Vampire 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
- 426
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 9 positive 7th powers.at n=16A003376
- Coordination sequence T1 for Zeolite Code ATT.at n=39A008041
- Coordination sequence T2 for Zeolite Code ATT.at n=39A008042
- a(n) is prime and sum of all primes <= a(n) is prime.at n=40A013917
- a(n) = floor(Sum_{k=0..n} k!/2), or floor( A003422(n+1)/2 ).at n=7A014288
- Numbers k such that the continued fraction for sqrt(k) has period 27.at n=11A020366
- Primes that remain prime through 2 iterations of function f(x) = 6x + 7.at n=40A023258
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=26A023263
- Expansion of (2 + x + x^2)/((1 - x)*(1 - x - x^2)).at n=13A026390
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 3.at n=40A031416
- a(n) = prime(10*n - 4).at n=42A031905
- Numbers whose set of base-14 digits is {1,3}.at n=15A032921
- Primes of form x^2+41*y^2.at n=21A033228
- Primes of form x^2+89*y^2.at n=13A033257
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+1 or 20k-1. Also number of partitions in which no odd part is repeated, with no part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=51A036024
- Recursive prime generating sequence.at n=33A039726
- Numbers k such that the string 4,5 occurs in the base 9 representation of k but not of k-1.at n=40A044292
- Numbers n such that string 5,7 occurs in the base 10 representation of n but not of n-1.at n=32A044389
- Numbers n such that string 5,7 occurs in the base 10 representation of n but not of n+1.at n=32A044770
- Smallest member of a sexy prime triple: value of p such that p, p+6 and p+12 are all prime, but p+18 is not (although p-6 might be).at n=47A046118