15524
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 27174
- Proper Divisor Sum (Aliquot Sum)
- 11650
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7760
- Möbius Function
- 0
- Radical
- 7762
- 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
- 146
- 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
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2); sequence gives values of u1.at n=32A048189
- Expansion of Product_{k>=1} (1+x^k)^A001055(k).at n=39A066806
- a(n) = (n^5 - 5*n^4 + 5*n^3 + 5*n^2 + 114*n + 120)/120.at n=19A161701
- Number of 0..24 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1.at n=2A171330
- Number of 0..n-1 integer arrays v[1..3] of length 3 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..2.at n=24A171354
- G.f.: exp( Sum_{n>=1} 2*sigma(n*4^n)*x^n/n ).at n=4A193103
- Vinogradov's constants arising in enumeration of solutions to Waring's problem in the evil numbers (A001969).at n=27A206375
- Triangle read by rows: T(n,k) = number of crossing connected diagrams in a disk having n crossings and k chords.at n=19A232227
- Number of (6+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 7.at n=11A252390
- Molien series for invariants of finite Coxeter group A_11.at n=52A266780
- Numbers n such that the decimal number concat(5,n) is a square.at n=30A273360
- a(n) = cardinality of a certain set of natural numbers defined using A117818.at n=22A292772
- Number of positive special sums of integer partitions of n.at n=24A301854
- Numbers that are the sum of nine fourth powers in ten or more ways.at n=30A345594
- Numbers that are the sum of nine fourth powers in exactly ten ways.at n=25A345852
- Main diagonal of array in A358304, divided by 2.at n=33A358307
- Number of edges among all distinct circles that can be constructed from a 2 X n square grid of points using only a compass.at n=6A359861