13578
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 28416
- Proper Divisor Sum (Aliquot Sum)
- 14838
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 1
- Radical
- 13578
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 37
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Reverse of largest prime factor of n = smallest prime factor of n+1; a(1)=1.at n=13A071393
- a(n) is the smallest number such that the product of its digits is n times the sum of its digits, or 0 if no such number exists.at n=34A126789
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only either four adjacent vertically or four adjacent horizontally.at n=10A145792
- a(n) = (2*n + 1)*(5*n + 6).at n=36A153127
- Number of binary strings of length n with no substrings equal to 000 or 011.at n=29A164315
- The second left hand column of triangle A167552.at n=35A167554
- Expansion of x*(1+x+x^2) / ( (x-1)*(x^3+x^2-1) ).at n=29A171861
- A126789 with zeros removed.at n=23A176623
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210864; see the Formula section.at n=39A210865
- Total sum of 4th powers of parts in all partitions of n.at n=8A229326
- Total sum of n-th powers of parts in all partitions of 8.at n=4A229359
- Number of n-length words on {1,2,3,4} such that the maximal runs of identical odd integers are of odd length and the maximal runs of identical even integers are of even length.at n=11A242536
- Numbers k with the property that p = k^2 - 13 and q = k^2 + 13 are consecutive primes.at n=30A248785
- Numbers k such that k + A067666(k) is a square.at n=26A386257