17487
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 26520
- Proper Divisor Sum (Aliquot Sum)
- 9033
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11088
- Möbius Function
- 0
- Radical
- 5829
- Omega Function (Ω)
- 4
- 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
- 110
- 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
- no
- Odd
- yes
Appears in sequences
- Number of rooted trees with n nodes with every leaf at height 8.at n=19A048813
- 45-gonal numbers: n*(43*n-41)/2.at n=28A098924
- Indices of primes in sequence defined by A(0) = 97, A(n) = 10*A(n-1) - 63 for n > 0.at n=22A100998
- a(n) = 6 + floor( Sum_{j=1..n-1} a(j)/4 ).at n=36A120164
- Number of n X n symmetric 0..4 arrays with each element equal to at least one horizontal or vertical neighbor and any new values 0..4 introduced in lower triangular row major order.at n=4A192641
- Number of arrays of maxima of three adjacent elements of some length n+2 0..5 array.at n=6A228458
- Number of arrays of maxima of three adjacent elements of some 0..n array of length 9.at n=4A228464
- Poincaré series for invariant polynomial functions on the space of binary forms of degree 9.at n=24A293934
- The number of partitions of n in which at least one part is a multiple of 4.at n=38A295342
- Number of nX6 0..1 arrays with every element unequal to 0, 1, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero.at n=6A316309
- Number of nX7 0..1 arrays with every element unequal to 0, 1, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero.at n=5A316310
- Number T(n,k) of parts in all proper k-times partitions of n; triangle T(n,k), n >= 1, 0 <= k <= n-1, read by rows.at n=32A327631
- Number of parts in all proper floor(n/2)-times partitions of n.at n=8A328041
- Number of partitions of n into an even number of parts that are not multiples of 3.at n=53A339404