5656
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 12240
- Proper Divisor Sum (Aliquot Sum)
- 6584
- 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
- 2400
- Möbius Function
- 0
- Radical
- 1414
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 129
- 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
- Coordination sequence T4 for Zeolite Code VNI.at n=46A009910
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 11 ones.at n=12A031779
- Numbers whose set of base-12 digits is {3,4}.at n=15A032836
- Multiplicity of highest weight (or singular) vectors associated with character chi_162 of Monster module.at n=37A034550
- a(n) = 1 - (7/6)*n + (2/3)*n^3 + (1/2)*n^4.at n=10A046998
- a(n) = k such that the k-th triangular number is A068808(n).at n=21A067991
- Index of the smallest triangular number with digit sum = n-th triangular number.at n=10A068134
- Centered 13-gonal numbers.at n=29A069126
- Nested floor product of n and fractions (k+1)/k for all k>0 (mod 6), divided by 6.at n=10A073363
- Number of fib101 primes (A095089) in range ]2^n,2^(n+1)].at n=18A095069
- Structured hexagonal anti-prism numbers.at n=13A100183
- Non-cubefree numbers k such that 2k+1 is also non-cubefree (A046099).at n=39A115170
- Number of partitions of n into parts with at most one 1 and at most one 2.at n=39A121081
- a(n) = Sum_{k=0..n} A(n,k)*n^k where A(n,k) are Eulerian numbers.at n=5A122778
- Expansion of (phi(q) * phi(q^2))^3 in powers of q where phi() is a Ramanujan theta function.at n=33A136028
- Triangle T(n, k) = Sum_{m=0..k} Sum_{j=0..m} Multinomial(n-k-m-j, j, m, k), read by rows.at n=38A141724
- a(n) = A007318 * [1, 6, 14, 9, 0, 0, 0, ...].at n=15A143690
- Numbers A141427(k) such that the three numbers A141427(k) -/+ 3 and A141427(k) + 1 are all prime.at n=44A144206
- 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, -1, 1), (-1, 1, 1), (1, 0, -1), (1, 0, 0)}.at n=9A148273
- a(n) = smallest multiple of n which contains its base 10 reversal as a substring.at n=55A181720