15172
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
- 6
- Divisor Sum
- 26558
- Proper Divisor Sum (Aliquot Sum)
- 11386
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7584
- Möbius Function
- 0
- Radical
- 7586
- Omega Function (Ω)
- 3
- 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
- 71
- 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
- Sum of 12 nonzero 8th powers.at n=33A003390
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 66 ones.at n=20A031834
- Number of partitions of n into squarefree parts.at n=44A073576
- A014486-encodings of trivalent plane trees (tpt) represented as (embedded into) a subset of general plane trees.at n=7A083936
- Theorems from propositional calculus, translated into decimal digits.at n=21A101273
- G.f. satisfies: A(x) = 1 + x/A(-x*A(x)^8)^4.at n=6A213101
- 8-step Fibonacci sequence starting with 0,0,0,1,0,0,0,0.at n=22A251742
- Volatile sequence: a(n) = A018227(n)-6.at n=39A271998
- Numbers k such that the average of the squares of k consecutive primes starting with 7 is a prime.at n=7A359394