14170
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
- 16
- Divisor Sum
- 27720
- Proper Divisor Sum (Aliquot Sum)
- 13550
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 1
- Radical
- 14170
- 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
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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
- Number of partitions of n into parts not of the form 23k, 23k+6 or 23k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=36A035994
- Number of "labeled" cyclic subgroups of symmetric group S_n.at n=7A051625
- Number of 0..n arrays x(0..8) of 9 elements with zero 4th differences.at n=48A200445
- Numbers k that are the product of four distinct primes such that x^2+y^2 = k has integer solutions.at n=19A248712
- Sum of numbers in the n-th antidiagonal of the reciprocity array of 2.at n=38A259580
- Sum of products of terms in all partitions of 3*n into powers of 3.at n=8A294298
- Least positive integer m such that m*n divides F(m+n), where F(k) denotes the k-th Fibonacci number A000045(k).at n=4A297573
- Partial sums of A108754.at n=37A307673
- Number of subsets of {1, 3, ..., 2*n-1} which sum to 0 modulo 2*n-1.at n=18A334125
- Number of integer partitions of n where the least part is the unique mode.at n=38A364193
- Table read by antidiagonals: T(m,n) = number of 2-metered (m,n)-parking functions.at n=61A372818
- Expansion of 1 / ((1-x)^4 - x^5)^2.at n=9A392638