16578
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 36960
- Proper Divisor Sum (Aliquot Sum)
- 20382
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5508
- Möbius Function
- 0
- Radical
- 1842
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 115
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 such that cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5) <= cn(1,5).at n=62A036846
- Sum of next n composite numbers.at n=29A072475
- Number of partitions of n into numbers having in binary representation at most trailing zeros.at n=44A087750
- Triangle of Gely numbers, read by rows.at n=40A132795
- Number of permutations in S_{n+2} containing an increasing subsequence of length n.at n=13A217200
- Years >= 1801 in which Christmas falls in Sukkot.at n=20A222419
- a(n) = 10^(prime(n)-1) mod prime(n)^2.at n=32A265012
- Number of partitions of (5, n) into a sum of distinct pairs.at n=20A268348
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 429", based on the 5-celled von Neumann neighborhood.at n=27A272113
- a(n) = a(n-1) + 3*a(n-2) if n even, or 2*a(n-1) + 4*a(n-2) if n odd, starting with 0, 1.at n=11A299914
- a(n) = A299914(2n+1).at n=5A299916
- Numbers that are the sum of 4 nonzero 4th powers in more than one way.at n=31A309763
- Number of unlabeled, disconnected, nonempty antichains of subsets of {1..n}.at n=7A327808
- Smallest number that is the sum of four positive n-th powers in three ways.at n=2A342894
- a(n) is the smallest number that is the sum of n positive 4th powers in three ways.at n=1A343082
- Numbers that are the sum of four fourth powers in three or more ways.at n=0A344241
- Numbers that are the sum of four fourth powers in exactly three ways.at n=0A344242
- Numbers k such that k | A002619(k).at n=48A349225
- a(n) is the smallest number which can be represented as the sum of n distinct positive n-th powers in exactly 3 ways, or -1 if no such number exists.at n=3A374257
- a(n) is the smallest number which can be represented as the sum of 4 distinct positive n-th powers in exactly 3 ways, or -1 if no such number exists.at n=3A374425