5137
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5616
- Proper Divisor Sum (Aliquot Sum)
- 479
- 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
- 4660
- Möbius Function
- 1
- Radical
- 5137
- 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
- 54
- 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) = (n-dimensional partitions of 6) + C(n,4) + C(n,3).at n=9A008780
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=17A020405
- Convolution of odd numbers and A000201.at n=20A023658
- Numbers k such that 233*2^k+1 is prime.at n=20A032493
- Numbers whose set of base-16 digits is {1,4}.at n=18A032828
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/10) starts with n.at n=35A034075
- Sums of 4 distinct powers of 4.at n=26A038472
- Denominators of continued fraction convergents to sqrt(397).at n=7A041755
- Base-8 palindromes that start with 1.at n=34A043021
- Number of tilings of 2 X n rectangle with polyominoes, each of which has area = # of adjacent polyominoes.at n=16A044043
- Numbers whose base-4 representation contains exactly three 0's and four 1's.at n=11A045032
- Palindromes in factorial base.at n=37A046807
- a(n)=T(n,n+3), array T as in A049735.at n=27A049743
- a(n) is the number of different degrees in the sequence of the degrees of the irreducible representations of the symmetric group S_n, i.e., count each degree only once.at n=33A060437
- Expansion of (1+x^4*C^3)*C^2, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071751
- Numbers n such that for some k and a_1,a_2,...,a_k the concatenation of the a_i is equal to n and their product is equal to pi(n).at n=31A097221
- Numbers k such that 13k = 6j^2 + 6j + 1.at n=16A106390
- Numbers n such that there exists at least one number j and pi(m) = d_1 d_2 ... d_j*d_(j+1) d_(j+2) ... d_k where d_1 d_2 ...d_k is the decimal expansion of n.at n=18A112012
- Semiprimes (A001358) whose digit reversal is a pentagonal number (A000326).at n=12A115708
- Lucky numbers for which the product of the digits is also a lucky number.at n=39A118556