17901
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 30492
- Proper Divisor Sum (Aliquot Sum)
- 12591
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10368
- Möbius Function
- 0
- Radical
- 663
- Omega Function (Ω)
- 6
- 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
- 141
- 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
- Octagonal pyramidal numbers: a(n) = n*(n+1)*(2*n-1)/2.at n=25A002414
- a(n) = n*(31*n-1)/2.at n=34A022288
- a(n) = binomial(n,4) + binomial(n,2).at n=26A055795
- Dimensions of the irreducible representations of the simple Lie algebra of type F4 over the complex numbers, listed in increasing order.at n=13A121738
- 3 times 10-gonal (or decagonal) numbers: a(n) = 3*n*(4*n-3).at n=39A152767
- Number of reduced words of length n in Coxeter group on 27 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.at n=3A162827
- Positions of zeros in A165597.at n=23A165598
- For any number n take the polynomial formed by the product of the terms (x-pi), where pi's are the prime factors of n. Then calculate the area between the minimum and the maximum value of the prime factors. This sequence lists the numbers for which the area is equal to zero.at n=39A203614
- Odd octagonal pyramidal numbers.at n=13A218326
- Number of 4-irreducible maps made up of two hexagons and n squares.at n=8A228704
- Number of partitions of n with difference -1 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=44A242691
- Numbers x such that the sum of all their cyclic permutations is equal to that of all cyclic permutations of sigma(x) and all cyclic permutations of Euler totient function phi(x).at n=12A247317
- Number of length n+1 0..2 arrays with at most one downstep in every n consecutive neighbor pairs.at n=14A255108
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 566", based on the 5-celled von Neumann neighborhood.at n=7A272987
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 597", based on the 5-celled von Neumann neighborhood.at n=25A273146