4937
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4938
- 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
- 4936
- Möbius Function
- -1
- Radical
- 4937
- 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
- 134
- 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
- 660
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=33A001134
- Coding a recurrence.at n=9A005204
- Numerators of expansion of exp x / sin x.at n=14A007418
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=24A007765
- Coordination sequence T2 for Coesite.at n=37A008268
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=5A020396
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=35A023263
- Palindromic primes in base 8.at n=19A029976
- 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 4.at n=40A031417
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 30 ones.at n=38A031798
- Primes of form x^2+89*y^2.at n=23A033257
- Decimal part of a(n)^(1/7) starts with n so that a(n) < a(n+1).at n=37A034072
- Numerators of continued fraction convergents to sqrt(558).at n=10A042068
- Numerators of continued fraction convergents to sqrt(778).at n=5A042500
- Base-8 palindromes that start with 1.at n=31A043021
- Numbers having four 1's in base 8.at n=20A043428
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 4.at n=13A049928
- a(n) = a(n-1) + a(m) for n >= 3, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = 2.at n=40A050049
- Values of n such that 90n+11, 90n+13, 90n+17, 90n+19 are all primes.at n=31A051897
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=13A052232