5572
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11200
- Proper Divisor Sum (Aliquot Sum)
- 5628
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2376
- Möbius Function
- 0
- Radical
- 2786
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=28A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=28A004946
- Position of n^3 + 9 in A024975.at n=36A024979
- Number of planar cata-polyhexes with n cells.at n=9A038142
- Numerators of continued fraction convergents to sqrt(800).at n=6A042542
- Numbers having four 4's in base 6.at n=5A043388
- Number of complementary pairs of circulant graphs on n nodes.at n=34A054929
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == (mod 4) so far).at n=28A060731
- Numerators of coefficients of a formal power series solution of f''(x) = f(f(x)).at n=5A068369
- Position of first repeat of the opening sequence of length n occurring after the first repeat of the opening sequence of length n-1 in the Kolakoski sequence (A000002).at n=25A074300
- Multiples of 7 using only prime digits (2, 3, 5 and 7).at n=36A077536
- a(n) = -1/16-3*n^2/8+17*n/12+n^3/12+(-1)^n/16.at n=41A088795
- Number of base-2 palindromic primes (A016041) in range [2^2n,2^(2n+1)].at n=15A095741
- Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n and having k low humps.at n=49A101281
- Lesser of twin admirable numbers: k such that k and k+2 are both admirable numbers.at n=23A109730
- Expansion of (-1+3*x+2*x^2-8*x^3+3*x^5-2*x^6-2*x^7+x^8) / ((x-1)*(x+1)*(x^2-2*x-1)*(x^2+2*x-1)).at n=10A110225
- Sum of the cubes of the first n cubefree numbers.at n=11A114286
- Number of palindromic primes in base 2 with exactly n binary digits.at n=32A117773
- Positive numbers of the form -x^4+6x^2 y^2-y^4 (where x,y are integers).at n=28A135790
- a(n) = n^3 + (n+2)^3.at n=13A153976