10506
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 22464
- Proper Divisor Sum (Aliquot Sum)
- 11958
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3264
- Möbius Function
- 1
- Radical
- 10506
- Omega Function (Ω)
- 4
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- yes
- Odd
- no
Appears in sequences
- Convolution of natural numbers >= 2 and natural numbers >= 3.at n=35A023545
- Sorted Galois numbers.at n=30A028689
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=11A033829
- Product of a prime and the previous number.at n=26A036689
- Minimal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=27A045613
- Hexagonal matchstick numbers: a(n) = 3*n*(3*n+1).at n=34A045945
- a(n) = Sum_{i=0..n} T(i,n-i) where T is given by A047020.at n=15A047021
- a(n) = product of numbers from prime(n)+1 up to prime(n+1), where prime(n) is the n-th prime.at n=25A072472
- Radius of inscribed circle within primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=31A089551
- a(n) = sum of the squares of the coefficients of x^n in x^(n-2k)*A(x^2)^(n-2k), as k varies from 0 to floor(n/2), with a(0)=1.at n=12A095892
- Euler's totient function applied to tribonacci numbers.at n=16A107647
- a(n) = (p+2)!/p! where p is the n-th lesser twin prime, A001359(n).at n=8A126251
- Numbers m such that m^k does not divide the denominator of the m-th generalized harmonic number H(m,k) nor the denominator of the m-th alternating generalized harmonic number H'(m,k), for k = 2.at n=33A128672
- Numbers m such that m^k does not divide the denominator of the m-th generalized harmonic number H(m,k) nor the denominator of the m-th alternating generalized harmonic number H'(m,k), for k = 4.at n=29A128674
- Numbers m such that m^k does not divide the denominator of the m-th generalized harmonic number H(m,k) nor the denominator of the m-th alternating generalized harmonic number H'(m,k), for k = 6.at n=36A128676
- a(1) = 1; a(n) = max{ 5*a(k) + a(n-k) | 1 <= k <= n/2 } for n > 1.at n=45A130667
- Number of cubic equations ax^3 + bx^2 + cx + d = 0 with integer coefficients |a|,|b|,|c|,|d| <= n, a <> 0, having one real root and two conjugate complex roots.at n=5A155193
- a(n) = 25*n^2 + 25*n + 6.at n=20A177059
- Numbers k such that there are 2 primes between 100*k and 100*k + 99.at n=30A186394
- Integers that do not have a partition into a sum of an odd square and two (not necessarily distinct) triangular numbers.at n=28A191764