4713
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6288
- Proper Divisor Sum (Aliquot Sum)
- 1575
- 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
- 3140
- Möbius Function
- 1
- Radical
- 4713
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 152
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Maxima of the rows of the triangle A259095.at n=37A005577
- Expansion of x*(1+x-x^2)/((1-x)^4*(1+x)).at n=36A005744
- Indices of prime Cullen numbers: numbers k such that k*2^k + 1 is prime.at n=2A005849
- Number of partitions of n into partition numbers.at n=48A007279
- Coordination sequence T5 for Zeolite Code RSN.at n=45A009889
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=17A020403
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor((n+1)/2).at n=34A024305
- Binomial transform of {1, primes}.at n=9A030015
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 44.at n=38A031542
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 30 ones.at n=34A031798
- Lucky numbers with size of gaps equal to 14 (upper terms).at n=22A031897
- Numbers k such that 165*2^k+1 is prime.at n=44A032459
- G.f.: A(x) = x*cycle_index(S5, B(x)-1), where B(x) is g.f. for A000598.at n=16A036670
- Numbers having four 1's in base 8.at n=14A043428
- Numbers whose base-4 representation contains exactly three 1's and three 2's.at n=26A045103
- Numbers whose base-5 representation contains exactly three 2's and two 3's.at n=11A045276
- Diagonally symmetric (about diagonal 2) 2n-celled polyominoes with 1 hole.at n=12A057424
- Least k such that k*10^n +/- 1 are twin primes.at n=35A064218
- Largest eigenvalue, rounded to the nearest integer, of a rank n matrix of 1..n^2 filled successively along rows.at n=20A072333
- Trajectory of 537 under the Reverse and Add! operation carried out in base 2, written in base 10.at n=4A077076