4732
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
- 4
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 10248
- Proper Divisor Sum (Aliquot Sum)
- 5516
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1872
- Möbius Function
- 0
- Radical
- 182
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 90
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = n^2*(n^2 - 1)/6.at n=13A008911
- Expansion of e.g.f. sinh(log(1+x))/cos(x).at n=7A009576
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=42A014569
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite EDI = Edingtonite Ba2[Al4Si6O20].8H2O starting with a T2 atom.at n=5A019013
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite THO = Thomsonite Na4Ca8[Al20Si20O80].24H2O starting at a T1 atom.at n=5A019062
- Every run of digits of n in base 13 has length 2.at n=24A033011
- Numbers whose base-13 expansion has no run of digits with length < 2.at n=37A033026
- a(n) = 7*n^2.at n=26A033582
- Positive integers having more base-13 runs of even length than odd.at n=25A044839
- a(1) = 13; for n > 0, a(n+1) = a(n) * sum of digits of a(n).at n=3A047903
- Second pentagonal numbers with even index: a(n) = n*(6*n+1).at n=28A049453
- a(n) = n*(n+1)*(n+2)*(n^2+7*n+32)/120.at n=11A051747
- Numbers k > 1 such that, in base 3, k and k^2 contain the same digits in the same proportion.at n=41A061657
- a(n) = 28*n^2.at n=13A064763
- Numbers n such that the digital binary sum of n equals core(n), the squarefree part of n.at n=27A077476
- Number of elements X in the matrix ring M_2(Z_n) such that X^2 == 0 mod n.at n=51A087726
- Values of n such that sigma(n)-2n (the abundance of n) is a (nonnegative) square.at n=39A109510
- Numbers whose cubes are exclusionary: numbers k such that k has no repeated digits and k and k^3 have no digits in common.at n=37A112994
- Triangle of coefficients in expansion of (1+13x)^n.at n=38A123187
- Column limit of A127119.at n=7A127120