17052
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 47880
- Proper Divisor Sum (Aliquot Sum)
- 30828
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4704
- Möbius Function
- 0
- Radical
- 1218
- 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
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 128
- 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
- Expansion of Product_{m >=1} (1+m*q^m)^21.at n=4A022649
- a(n) = (d(n)-r(n))/2, where d = A026049 and r is the periodic sequence with fundamental period (1,0,0,1).at n=42A026050
- Number of partitions of n into parts not of the form 23k, 23k+10 or 23k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=36A035998
- Numbers whose base-7 representation contains exactly four 0's.at n=22A043396
- a(n) = smallest number > a(n-1) such that a(1)*a(2)*...*a(n) + 1 and a(1)*a(2)*...*a(n) - 1 are primes.at n=37A051956
- Triangle read by rows: T(n,c) = number of successive equalities in set partitions of n.at n=48A056857
- Triangle T(n,k) = number of element-subset partitions of {1..n} with n-k+1 equalities (n >= 1, 1 <= k <= n).at n=51A056860
- McKay-Thompson series of class 29A for Monster.at n=35A058611
- Starting positions of strings of three 5's in the decimal expansion of Pi.at n=12A083620
- In the interior of a regular 2n-gon with all diagonals drawn, the number of points where exactly three diagonals intersect.at n=27A101363
- Number of partitions of {1...n} containing 3 pairs of consecutive integers, where each pair is counted within a block and a string of more than 2 consecutive integers are counted two at a time.at n=6A105480
- Each term is previous term plus floor of harmonic mean of two previous terms.at n=18A114831
- McKay-Thompson series of class 29A for the Monster group with a(0) = 2.at n=35A136570
- Number of 4-way intersections in the interior of a regular 6n-gon.at n=28A137938
- Numbers k such that 64*k^6 + 1091 is prime.at n=21A155809
- a(n) = 36*n^2 - 17*n + 2.at n=21A157265
- Triangular array read by rows: T(n,k) is the number of blocks of size k in all set partitions of {1,2,...,n}.at n=38A175757
- Number of 10-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions.at n=5A187384
- Triangle T(n, k) = Number of ways to choose k points from an n X n X n triangular grid so that no three of them form a 2 X 2 X 2 subtriangle. Triangle T read by rows.at n=34A234251
- Number of (unlabeled) loopless multigraphs with no isolated vertices such that the sum of the numbers of vertices and edges is n.at n=17A265580