10602
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 24960
- Proper Divisor Sum (Aliquot Sum)
- 14358
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3240
- Möbius Function
- 0
- Radical
- 3534
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 29
- 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
- Expansion of 1/((1-x)*(1-x-2*x^3)).at n=17A003479
- G.f.: { ( Product_{j=1..infinity} (1-x^j) - 1 )/x }^24.at n=4A006665
- Coordination sequence for MgZn2, Position Zn1.at n=26A009937
- Numbers k such that k^2 + 3*k + 1 is a palindrome.at n=21A028348
- Number of partitions satisfying cn(1,5) <= cn(2,5) + cn(3,5) and cn(4,5) <= cn(2,5) + cn(3,5).at n=36A039890
- Base-7 palindromes that start with 4.at n=36A043018
- Numbers whose base-2 representation has exactly 12 runs.at n=31A043579
- Area of annuli of consecutive integer thickness.at n=14A114378
- Number of partitions of n such that even parts occur at most once and odd parts occur at most twice.at n=50A118246
- Values of n such that (sigma(sigma(n))-phi(phi(n)))/n is an integer (the corresponding integral ratios are given in A136132).at n=21A136131
- Numbers n with property that n^2 is a sum of some 120 successive primes.at n=3A166262
- Number of partitions of n in which any two parts differ by at most 5.at n=50A218507
- Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 2 array.at n=18A220147
- Number of partitions p of n such that (number of even numbers in p) < 2*(number of odd numbers in p).at n=34A241641
- Composite numbers whose sum of aliquot parts divides the sum of the aliquot parts of the numbers less than or equal to n and not relatively prime to n.at n=17A249109
- First row of spectral array W(3^(1/3)).at n=15A249179
- Number of (n+2) X (6+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3.at n=42A255799
- Numbers n such that Bernoulli number B_{n} has denominator 798.at n=44A272138
- Numbers whose Euler totient function is equal to the product of the number of divisors of their k first powers, for some k.at n=28A283759
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) - 1, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=16A294545