16457
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18816
- Proper Divisor Sum (Aliquot Sum)
- 2359
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14100
- Möbius Function
- 1
- Radical
- 16457
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 265
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Expansion of 1/((1-6x)(1-8x)(1-11x)(1-12x)).at n=3A028215
- Numbers whose base-4 representation contains exactly four 0's and three 1's.at n=23A045036
- Numbers k such that 277*2^k-1 is prime.at n=15A050897
- a(n) = 484*n + 1.at n=33A158326
- a(n) = 34*n^2 + 1.at n=22A158586
- Number of partitions of n with difference 3 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=41A242694
- Number of partitions of n*(n-2) with n parts and at least one part > n.at n=4A264356
- Numbers k such that k!6 + 6 is prime, where k!6 is the sextuple factorial number (A085158 ).at n=20A287956
- Expansion of 1 / ((1-x)^2*(1-x^2)*(1-x^3)*...*(1-x^7)).at n=32A288342
- Expansion of the continued fraction 1 / (1-q / (1-q-q^2 / (1-q-q^2-q^3 / (1-q-q^2-q^3-q^4 / (...))))).at n=11A355040
- Numbers k such that 30*k - 1, 30*k + 1, 30*k^2 - 1 and 30*k^2 + 1 are all prime.at n=28A359184
- Number of non-condensed integer partitions of n, or partitions where it is not possible to choose a different divisor of each part.at n=36A370320