4579
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4840
- Proper Divisor Sum (Aliquot Sum)
- 261
- 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
- 4320
- Möbius Function
- 1
- Radical
- 4579
- 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
- 108
- 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
- Octahedral numbers: a(n) = n*(2*n^2 + 1)/3.at n=19A005900
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=36A005993
- a(n) = position of 3*n^3 in A003072.at n=23A024970
- Expansion of 1/((1-2x)(1-3x)(1-8x)(1-10x)).at n=3A025949
- Expansion of Molien series for 4-D extraspecial group 2^{1+2*2}.at n=37A030533
- 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 67.at n=8A031565
- a(n) = A047881(n) / 2.at n=28A047882
- Number of positive integers <= 2^n of form x^2 + 17 y^2.at n=15A054230
- Number of integers in the range (2^(n-1), 2^n] for which d(k)^3 > k holds, i.e., the cube of the number of divisors of k exceeds the number k.at n=23A056763
- Odd composite numbers which in base 2 contain their largest proper factor as a substring of digits.at n=16A063131
- Composite numbers not divisible by 2, 3 or 5 which contain their largest prime factor as a substring in base 2.at n=32A063137
- Composite numbers not divisible by 2, 3, 5 or 7 which in base 2 contain their largest proper factor as a substring.at n=12A063138
- a(n) = (2*n - 1)*(8*n^2 - 8*n + 3)/3.at n=9A063496
- Number of potential flows in n X n array with integer velocities in -9..9, i.e., number of n X n arrays with adjacent elements differing by no more than 9, counting arrays differing by a constant only once.at n=1A068756
- a(1) = 9, then the smallest number such that the forward as well as the reverse n-th partial concatenation is a prime for n>1. (Reverse concatenation is taken term-wise and not digit-wise).at n=14A083995
- Symmetric square table of coefficients, read by antidiagonals, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = 1/[(1-x)(1-y)] + xy*f(x,y)^3.at n=62A086629
- Symmetric square table of coefficients, read by antidiagonals, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = 1/[(1-x)(1-y)] + xy*f(x,y)^3.at n=58A086629
- Least positive multiples of index n that can result from the self-convolution of a monotonically increasing sequence (A087148).at n=41A087149
- Total number of parts in all compositions of n into distinct odd parts.at n=34A097936
- Iccanobirt prime indices (13 of 15): Indices of prime numbers in A102123.at n=11A102143