10507
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12800
- Proper Divisor Sum (Aliquot Sum)
- 2293
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8424
- Möbius Function
- -1
- Radical
- 10507
- 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
- 148
- 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
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 17 ones.at n=11A031785
- Number of 3-rowed binary matrices with n ones and no zero columns, up to row and column permutation.at n=26A058053
- a(n) = 9*n^2 + 3*n + 1.at n=34A082040
- Interpolate 0's between each pair of digits of n-th prime.at n=36A092909
- p^2-p+1 central polygonal numbers with prime indices A002061(prime(n)).at n=26A119959
- Odd interprimes divisible by 19.at n=28A126231
- Products of three distinct happy primes A035497.at n=13A154717
- Products of three distinct primes of the form 6*k + 1.at n=21A154729
- Erroneous version of A140763.at n=26A159579
- a(n) = Sum_{j=1..prime(n)-1} floor(j^2/prime(n)).at n=40A165993
- Numbers that are repdigits with length > 2 in more than one base.at n=27A167783
- Number of n X 2 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor.at n=4A198717
- Number of nX5 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor.at n=1A198720
- T(n,k) = number of n X k 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor.at n=16A198723
- T(n,k) = number of n X k 0..6 arrays with values 0..6 introduced in row major order and no element equal to any horizontal or vertical neighbor.at n=19A198723
- Numbers having exactly four representations by the quadratic form x^2+xy+y^2 with 0<=x<=y.at n=27A198775
- T(n,k)=Number of 0..6 colorings of an nx(k+1) array circular in the k+1 direction with new values 0..6 introduced in row major order.at n=14A214187
- Number of 0..6 colorings of a 5X(n+1) array circular in the n+1 direction with new values 0..6 introduced in row major order.at n=0A214192
- Number of nXnXn triangular 0..6 arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors.at n=2A214350
- T(n,k)=Number of nXnXn triangular 0..k arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors.at n=30A214352