16757
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18060
- Proper Divisor Sum (Aliquot Sum)
- 1303
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15456
- Möbius Function
- 1
- Radical
- 16757
- 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
- 128
- Smith Number
- no
- Vampire 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
Appears in sequences
- a(n) = 1^2 + prime(1)^2 + prime(2)^2 + ... + prime(n)^2.at n=17A024525
- Numbers whose base-7 representation contains exactly four 6's.at n=17A043420
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 7.at n=19A051972
- Expansion of 1/((1+x*(1-M(x)))*sqrt(1-2*x-3*x^2)), M(x) the g.f. of A001006.at n=10A116388
- a(n) = 441*n - 1.at n=37A158319
- a(n) = 38*n^2 - 1.at n=20A158596
- Number of triples (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| <= w+x+y.at n=25A213481
- 50k^2-20k-23 interleaved with 50k^2+30k+17 for k=>0.at n=37A217894
- Numbers k such that C(k+2,2) divides 2^(k+1) - 1.at n=18A246636
- Expansion of (1/(1 - x))*Product_{k>=1} (1 + x^k)^k.at n=17A302832
- Bases b where exactly seven primes p with p < b exist such that p is a base-b Wieferich prime.at n=39A325883
- Numbers b > 1 such that the smallest four primes, i.e., 2, 3, 5 and 7 are base-b Wieferich primes.at n=18A339533
- Integers k such that Euler(k, 1) is an integer multiple of Bernoulli(k + 1, 1).at n=41A342320