5456
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 11904
- Proper Divisor Sum (Aliquot Sum)
- 6448
- 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
- 682
- Omega Function (Ω)
- 6
- 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
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 15
- 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
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=31A000292
- a(n) = 1^2 + 3^2 + 5^2 + 7^2 + ... + (2*n-1)^2 = n*(4*n^2 - 1)/3.at n=16A000447
- Tetrahedral numbers written backwards.at n=33A004161
- Binomial coefficient C(3n,n-8).at n=3A004326
- a(n) = floor(n*phi^15), where phi is the golden ratio, A001622.at n=4A004930
- a(n) = round(n*phi^15), where phi is the golden ratio, A001622.at n=4A004950
- Dodecahedral numbers: a(n) = n*(3*n - 1)*(3*n - 2)/2.at n=11A006566
- Coordination sequence T2 for Cordierite.at n=44A008252
- Binomial coefficient C(33,n).at n=3A010949
- Binomial coefficient C(n,30).at n=3A010983
- tanh(arcsin(sinh(x)))=x-4/5!*x^5+80/7!*x^7+5456/9!*x^9+511360/11!*x^11...at n=4A012106
- Even tetrahedral numbers.at n=23A015220
- Expansion of 1/((1-2*x)*(1-8*x)).at n=4A016131
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=52A017863
- a(n) = (F(2n+3) - F(n))/2 where F() = Fibonacci numbers A000045.at n=9A027994
- (prime(n)-5)(prime(n)-7)(prime(n)-9)/48.at n=17A030002
- a(n) = (prime(n) - 1)*(prime(n) - 3)*(prime(n) - 5)/48.at n=17A030004
- Sums of 5 distinct powers of 4.at n=20A038473
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=9A045247
- Number of partitions of n with parts (with repetitions) forming a division lattice (i.e., closed under GCD and LCM).at n=53A051839