15500
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 34944
- Proper Divisor Sum (Aliquot Sum)
- 19444
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6000
- Möbius Function
- 0
- Radical
- 310
- Omega Function (Ω)
- 6
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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) = (3*n+1)*(3*n+2).at n=41A001504
- Convolution of natural numbers with (1, p(1), p(2), ... ), where p(k) is the k-th prime.at n=30A023538
- Number of twin primes < 2^n.at n=20A033843
- Gaps of 7 in sequence A038593 (lower terms).at n=35A038653
- Numbers that are divisible by 10 and are differences between two cubes in at least one way.at n=21A038854
- Numbers whose base-5 representation contains exactly three 0's and three 4's.at n=9A045217
- T(n,5), array T as in A050186; a count of aperiodic binary words.at n=15A050190
- Jordan function J_3(n).at n=24A059376
- Number of strings of length n over Z_5 with trace 0 and subtrace 2.at n=7A073965
- Number of strings of length n over Z_5 with trace 1 and subtrace 0.at n=7A073966
- Number of strings of length n over Z_5 with trace 1 and subtrace 4.at n=7A073970
- Number of elements of GF(5^n) with trace 0 and subtrace 1.at n=7A074007
- Number of elements of GF(5^n) with trace 1 and subtrace 1.at n=7A074010
- Number of elements of GF(5^n) with trace 1 and subtrace 3.at n=7A074012
- Number of n X n matrices over GF(5) with characteristic polynomial x^n - 1.at n=2A089037
- Engel expansion of real number x such that y = Gamma(x) is a minimum.at n=16A096188
- Number of base 8 n-digit numbers with adjacent digits differing by four or less.at n=5A126503
- Numbers k such that 19^k - 2 is a prime.at n=15A128460
- a(n) = n^6 - n^3.at n=5A136006
- a(n) = prime(n)^6 - prime(n)^3.at n=2A138410