10619
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12768
- Proper Divisor Sum (Aliquot Sum)
- 2149
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8640
- Möbius Function
- -1
- Radical
- 10619
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 99
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(n+4)*(n+5)/6.at n=37A005586
- For each prime p take the sum of nonprimes < p.at n=37A045717
- a(n) = 1 + Sum_{i=1..n} phi(i)^2.at n=42A049454
- Poincaré series [or Poincare series] (or Molien series) for a certain four-fold wreath product P_4.at n=45A091434
- Let M be the matrix defined in A111490. Sequence gives M(2,1)-M(1,2), M(2,1)+M(3,1)+M(3,2)-M(1,2)-M(1,3)-M(2,3), etc.at n=45A123329
- Number of base 9 n-digit numbers with adjacent digits differing by three or less.at n=5A126477
- a(n) = (n-2)*(n+3)*(n+2)/6.at n=39A129936
- Weight distribution of [42,21,10] binary extended quadratic-residue (or QR) code.at n=6A145648
- Weight distribution of [42,21,10] binary extended quadratic-residue (or QR) code.at n=15A145648
- Numbers k that divide 10^(k+1)-1.at n=35A175203
- Number of nondecreasing arrangements of n numbers in -5..5 with sum zero and sum of squares not greater than n*30/3.at n=11A183923
- Numbers k such that 2^(k+1) == 1 (mod k).at n=18A187787
- Number of standard Young tableaux of shape [3n,3].at n=13A215543
- Numbers k such that 2^k + 33 is prime.at n=29A247953
- Partial sums of A299900.at n=27A299901
- Number of multisets whose right half (inclusive) sums to n.at n=24A360671
- a(n) = numerator(Sum_{k=1..n} d(k)/d(k+1)), where d is the number of divisors function.at n=42A386923