17448
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 43680
- Proper Divisor Sum (Aliquot Sum)
- 26232
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5808
- Möbius Function
- 0
- Radical
- 4362
- 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
- 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
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 11.at n=12A031689
- Number of partitions in parts not of the form 21k, 21k+3 or 21k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=40A035981
- Numerators of continued fraction convergents to sqrt(616).at n=8A042182
- Number of positive integers <= 2^n of form x^2 + 13 y^2.at n=17A054227
- a(n) = floor(e^n mod n^e).at n=41A066433
- Sequence i_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).at n=7A129876
- a(n) = 121*n^2 + 2*n.at n=11A181679
- Number of nondecreasing arrangements of n+2 numbers in 0..n with the last equal to n and each after the second equal to the sum of one or two of the preceding three.at n=21A190034
- Numbers k such that 2*k!!! + 1 is prime.at n=26A217647
- Number of (n+1) X (n+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=2A234219
- Number of (n+1) X (3+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=2A234222
- T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=12A234227
- Number of partitions of n where the difference between consecutive parts is at most 8.at n=37A238868
- Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,37).at n=9A250240
- Number of tilings of a 5 X n rectangle using n pentominoes of shapes F, I, L, U.at n=10A251617
- Poincaré series for hyperbolic reflection group with Coxeter diagram o-(5)-o---o-(5)-o.at n=19A265048
- Sum of squares of parts of the partitions of 2n into two squarefree parts.at n=21A280316
- Expansion of Product_{k>=1} (1 + x^k / (1 - k*x)).at n=10A336989