17629
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 19034
- Proper Divisor Sum (Aliquot Sum)
- 1405
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 16320
- Möbius Function
- 0
- Radical
- 1037
- Omega Function (Ω)
- 3
- 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
- 53
- 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
- [ (4th elementary symmetric function of P(n))/(2nd elementary symmetric function of P(n)) ], where P(n) = {first n+3 primes}.at n=15A024456
- Numbers m such that the positive values of m - A002110(k) are all primes (k > 0).at n=40A068372
- Numbers n such that 3^n + 2^(n-1) is prime.at n=41A082103
- Number of permutations of length n which avoid the patterns 1432, 2314, 3241.at n=9A116800
- In triangular peg solitaire, number of distinct feasible pairs starting with one peg missing and finishing with one peg.at n=31A130515
- In triangular peg solitaire, number of distinct solvable feasible pairs starting with one peg missing and finishing with one peg.at n=31A130516
- Row sums of triangle A135858.at n=26A135859
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k peaks in their peak plateaux (0<=k<=n-1). A peak plateau is a run of consecutive peaks that is preceded by an upstep and followed by a down step; a peak consists of an upstep followed by a downstep.at n=58A143953
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1100-0111-0001 pattern in any orientation.at n=9A146665
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, 1, 1), (1, 0, 0), (1, 1, 0)}.at n=7A151118
- a(n) = 61*n^2.at n=17A174333
- Composite numbers for which A324644(n)/A324198(n) = 2 and sigma(n) == 2 (mod 4).at n=17A371082
- Numbers k that divide the k-th Apéry number (A005259).at n=6A372942