11607
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15984
- Proper Divisor Sum (Aliquot Sum)
- 4377
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7488
- Möbius Function
- -1
- Radical
- 11607
- 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
- 174
- 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 that divide the (left) concatenation of all numbers <= k written in base 4 (most significant digit on left).at n=10A029473
- Number of partitions in parts not of the form 11k, 11k+1 or 11k-1. Also number of partitions with no part of size 1 and differences between parts at distance 4 are greater than 1.at n=47A035944
- Sets of 4 consecutive numbers with equal number of divisors.at n=38A039665
- Triangle of coefficients of certain numerator polynomials N(n,x).at n=23A064307
- a(n)=a(n-1)+sum of digits(a(n-1))*sum of digits(a(n-2)).at n=43A108720
- Next term is the sum of previous term and the square of the sum of its decimal digits, with a(0) = 10.at n=39A112787
- Numbers k for which 8*k+1, 8*k+5, 8*k+7 and 8*k+11 are primes.at n=20A123983
- Row sums of A163233 and A163235.at n=25A163242
- Expansion of a(q) * b(q)^3 in powers of q where a(), b() are cubic AGM theta functions.at n=12A215711
- Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 10.at n=44A240019
- a(n) = (4*n^3 - 6*n^2 + 20*n + 3)/3.at n=21A322597
- Products p*q*r of three distinct primes such that (p*q) mod r, (p*r) mod q and (q*r) mod p are all prime.at n=11A338704
- Number of ways to write n as an ordered sum of 7 squarefree numbers.at n=14A341067
- Number of partitions of n such that 5*(smallest part) = (number of parts).at n=57A350897
- Indices of the primes of |A007442|.at n=20A359629
- Triangle read by rows: the n-th row gives the least sequence of n consecutive numbers with the same number of divisors.at n=12A376557
- Numbers k such that sopfr(k + sopfr(k)) = sopfr(k) + sopfr(sopfr(k)), where sopfr = A001414.at n=20A376851