10431
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
- 12
- Divisor Sum
- 16120
- Proper Divisor Sum (Aliquot Sum)
- 5689
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- 0
- Radical
- 3477
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 86
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k.at n=42A013935
- Number of partitions of n with equal nonzero number of parts congruent to each of 2, 3 and 4 (mod 5).at n=55A035591
- Sum of a(n) terms of 1/k^(7/8) first exceeds n.at n=18A056184
- Numbers k such that k^2 + k + 1, k^3 + k + 1 and k^4 + k + 1 are all prime.at n=34A057683
- Odd interprimes divisible by 19.at n=27A126231
- Triangle: row n is least sequence of n positive integers such that A131655(n) distinct rational numbers are generated only from them using only +, -, * and / and each number in the row no more than once in a given expression.at n=14A133568
- Numbers such that the digital sum base 2 and the digital sum base 3 and the digital sum base 10 all are equal.at n=11A135120
- a(n) = n^2 + 731*n + 1.at n=14A180919
- a(n) = prime(n)*T(n), where T = A000217.at n=17A196421
- Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal, vertical, diagonal or antidiagonal neighbor, and containing the value n(n+1)/2-3.at n=5A211912
- T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal, vertical, diagonal or antidiagonal neighbor, and containing the value n(n+1)/2-k-1.at n=26A211916
- -9-Knödel numbers.at n=37A225513
- Number of partitions of n such that (least part) <= (multiplicity of greatest part).at n=34A240179
- Number of nonnegative integers with the property that their base 9/4 expansion (see A024652) has n digits.at n=9A245425
- A specially constructed B_2 sequence with sum of reciprocals greater than that of the Mian-Chowla sequence A005282.at n=69A259964
- Numbers k such that the concatenation of the first k nonsquares gives a prime.at n=5A283561
- Solution of the complementary equation a(n) = 2*a(n-2) - b(n-1) + n, where a(0) = 4, a(1) = 5, b(0) = 1, and (a(n)) and (b(n)) are increasing complementary sequences.at n=24A295068
- Indices of primes followed by a gap (distance to next larger prime) of 38.at n=21A320717
- Numbers k such that A001222(k)>=3 and A339423(k) divides k.at n=51A339425
- For 1<=x<=n, 1<=y<=n, write gcd(x,y) = u*x+v*y with u,v minimal; a(n) = sum of the values of |u|.at n=47A345432