4958
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7752
- Proper Divisor Sum (Aliquot Sum)
- 2794
- 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
- 2376
- Möbius Function
- -1
- Radical
- 4958
- 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
- 46
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = b(n) - c(n) where b(n) = [ (3/2)^n ] and c(n) is the n-th number not in sequence b.at n=20A014250
- Magic numbers: atoms with full shells containing any of these numbers of electrons are considered electronically stable.at n=28A018227
- Numbers k such that 129*2^k+1 is prime.at n=15A032414
- Numbers k such that 163*2^k+1 is prime.at n=30A032458
- Base-7 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,3,1.at n=4A037726
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049723.at n=16A049724
- Composite numbers n such that sigma(n+24) = sigma(n) + 24.at n=11A054983
- Coordination sequence T1 for Zeolite Code MTF.at n=42A057304
- G.f. A(x) satisfies A(x) = 1+Sum_{j=0 to infinity} ((1 + x^(j+1)*A(x))^a_j-1).at n=9A061815
- Nearest integer to (Product(n^((1 + log(1 + i))/(1 + i^2)), {i, 1, n})).at n=40A062493
- Numbers k such that A065608(k) is a square.at n=43A065063
- Number of octagonal regions in regular n-gon with all diagonals drawn.at n=59A067155
- Numbers k that divide floor((3/2)^k) = A002379(k).at n=11A073633
- Index of the first occurrence of prime(n) in A060324.at n=38A078454
- Numbers k such that A000984(k) mod k = 0 and A080383(k) != 7.at n=15A080392
- a(1) = 1; for n > 1, a(n) = smallest number greater than a(n-1) such that a(n-1)*a(n)+1 is a cube.at n=6A082536
- Total number of parts smaller than the largest part, in all partitions of n.at n=20A116686
- Number of partitions of n such that largest part k occurs at least floor(k/2) times.at n=48A118083
- Sums of three consecutive heptagonal numbers.at n=25A129111
- Integers k such that 10^k+37 is a prime number.at n=19A135109