5202
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 11973
- Proper Divisor Sum (Aliquot Sum)
- 6771
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1632
- Möbius Function
- 0
- Radical
- 102
- 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
- 178
- 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 written backwards.at n=44A002942
- Expansion of (1+x^2) / ( (1-x)^2 * (1-x^3)^2 ).at n=49A006501
- Coordination sequence T6 for Zeolite Code MFI.at n=46A008169
- Coordination sequence for {E_6}* lattice.at n=3A008401
- Coordination sequence for NiAs(2), As position.at n=34A009945
- a(0) = 1, a(n) = 13*n^2 + 2 for n>0.at n=20A010004
- a(n) = n^2*(n+1).at n=17A011379
- Numbers k that divide s(k), where s(1)=1, s(j)=18*s(j-1)+j.at n=48A014868
- Least term in period of continued fraction for sqrt(n) is 8.at n=19A031432
- Numbers whose set of base-8 digits is {1,2}.at n=41A032929
- a(n) = n^3 * Product_{p|n, p prime} (1 + 1/p).at n=16A033196
- Number of partitions of n into parts not of the form 21k, 21k+8 or 21k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=30A035986
- Positive numbers having the same set of digits in base 7 and base 8.at n=43A037438
- Maximal base 7 run length is 4.at n=19A037991
- Numbers whose base-7 representation contains exactly four 1's.at n=25A043400
- Numbers having three 2's in base 8.at n=31A043431
- Numbers k such that the number of odd divisors of k is an odd divisor of k.at n=46A049439
- Triangle read by rows: T(n,k) = number of k-part order-consecutive partition of {1,2,...,n} (1 <= k <= n).at n=58A056242
- Numbers having exactly twelve anti-divisors.at n=23A066478
- First of 3 consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2} are in A067259.at n=27A071319