17442
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
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 43200
- Proper Divisor Sum (Aliquot Sum)
- 25758
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 1938
- Omega Function (Ω)
- 6
- 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
- yes
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- a(n) = n^2*(n^2 - 1)/6.at n=18A008911
- (Terms in A029613)/2.at n=40A051435
- Sequence of sums based on primes = 7 mod 8.at n=29A060108
- Write 1, 2, 3, 4, ... counterclockwise in a hexagonal spiral around 0 starting left down, then a(n) is the sequence found by reading from 0 in the vertical upward direction.at n=38A063436
- The following triangle is based on Pascal's triangle. The r-th term of the n-th row is sum of C(n,r) successive integers so that the sum of all the terms of the row is (2^n)*(2^n+1)/2, the 2^n -th triangular number. Sequence contains the triangle read by rows.at n=52A112358
- Determinant of n X n matrix whose diagonal contains the first n tetrahedral numbers and all other elements are 1's.at n=4A118714
- a(1)=1, a(n) = a(n-1) + sum of odd numbers which are among the first (n-1) terms of the sequence.at n=13A131093
- Numbers that are divisible by the product of the digit-sums of their neighbors.at n=28A152826
- Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-3.at n=14A180293
- Numbers k such that 3^k + 2^k + 10 is prime.at n=18A219617
- The Wiener index of the Kneser graph K(n,2) (n>=5).at n=14A228306
- Number of ways to place 2 points on a triangular grid of side n so that they are not adjacent.at n=17A239568
- Pentagonal numbers that are also Niven numbers.at n=30A242043
- a(n) = 3*n*(9*n - 1)/2.at n=36A268351
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 950", based on the 5-celled von Neumann neighborhood.at n=29A273829
- Triples of practical numbers: numbers n such that n-2, n, n+2 are all practical numbers.at n=21A287682
- Numbers k that are multiples of the digital sum of k-1, k and k+1.at n=27A303068
- Number of nonnegative integer matrices with values summing to n, up to transposition and permutation of rows and columns.at n=10A318395
- a(n) is the number of subsets of {1..n} that contain exactly 3 odd and 1 even numbers.at n=37A333319
- Partition the integers from 1 to n into three groups with consecutive numbers, then a(n) is the maximum value of the sum of the numbers in the second group multiplied by the minimum of the sum of the numbers in the first and third groups.at n=24A342713