5117
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6336
- Proper Divisor Sum (Aliquot Sum)
- 1219
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- -1
- Radical
- 5117
- Omega Function (Ω)
- 3
- 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
- 134
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of layer susceptibility series for square lattice.at n=9A007288
- Coordination sequence T2 for Zeolite Code DAC.at n=45A008068
- q-Catalan numbers (binomial version) for q=-2.at n=4A015056
- Positive numbers having the same set of digits in base 8 and base 10.at n=25A037442
- Sum of first n primes of form 4k-1.at n=34A038347
- Numbers whose base-4 representation contains exactly two 1's and four 3's.at n=19A045123
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(17)).at n=49A052479
- Composite numbers arising as sum of first k primes.at n=43A053790
- Integer part of (Product(n^((1 + log(i))/i^2), {i, 1, n})).at n=34A062482
- Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,...at n=34A062708
- The minimal number which has multiplicative persistence 8 in base n.at n=32A064872
- Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3.at n=8A070192
- Sum of next n composite numbers.at n=19A072475
- Number of Fibonacci numbers F(k), k <= 10^n, whose initial digit is 8.at n=4A073564
- Let u(1)=u(2)=1, u(3)=n, u(k) = (1/2)*abs(2*u(k-1) -u(k-2)-u(k-3)); sequence gives values of n such that Sum_{k>=1} u(k) is an integer.at n=20A078113
- Multiples of 7 in which there is no common digit in successive terms.at n=19A083495
- a(n) = (A085249(n) - 1)/6.at n=12A088349
- Where records occur in numerators of Kepler's tree of harmonic fractions (A093873).at n=50A095725
- Structured disdyakis triacontahedral numbers (vertex structure 11).at n=6A100158
- Expansion of (1 - x - 4*x^2)/(1 - 2*x - 7*x^2 + 8*x^3).at n=8A100305