15136
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 33264
- Proper Divisor Sum (Aliquot Sum)
- 18128
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6720
- Möbius Function
- 0
- Radical
- 946
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 40
- 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-1)*n*(n+4)/6.at n=44A005581
- [ 4th elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=10A025204
- Lesser members of g-reduced amicable pairs a < b such that sigma(a) = sigma(b) = a + b + gcd(a,b).at n=38A054573
- Expansion of (1+2*x+3*x^2)/((1-x)^3*(1-x^2)).at n=30A055232
- McKay-Thompson series of class 27b for the Monster group.at n=31A058601
- Concatenation of n-th prime and n in decimal notation.at n=35A075110
- List of codewords in binary lexicode with Hamming distance 6 written as decimal numbers.at n=27A075934
- Numbers n such that sum of squares of even digits of n equals sum of squares of odd digits of n.at n=17A076164
- Indices of primes in sequence defined by A(0) = 79, A(n) = 10*A(n-1) - 41 for n > 0.at n=9A101142
- sigma(n) + n is a square.at n=30A114069
- Sum of digits of n-th even superperfect number A061652(n).at n=22A138827
- First differences of A160644.at n=33A160646
- a(n) = (prime(n))^2 - (nonprime(n))^2.at n=31A161757
- Number of reduced words of length n in the Weyl group B_44.at n=3A162182
- Number of reduced words of length n in the Weyl group D_44.at n=3A162413
- Number of binary strings of length n with no substrings equal to 0010 or 0110.at n=17A164402
- Sequence with Hankel transform equal to 2^floor(n^2/2).at n=8A168490
- Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A033321.at n=58A171486
- Number of (n+1)X(n+1) -11..11 symmetric matrices with every 2X2 subblock having sum zero and two or three distinct values.at n=5A211713
- Number of length 3+1 0..n arrays with the sum of the maximum of each adjacent pair multiplied by some arrangement of +-1 equal to zero.at n=30A250647