4562
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6846
- Proper Divisor Sum (Aliquot Sum)
- 2284
- 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
- 2280
- Möbius Function
- 1
- Radical
- 4562
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T4 for Zeolite Code MTW.at n=44A008199
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15).at n=38A017846
- 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 66.at n=18A031564
- a(n) = 2*n^2 + 3*n + 3.at n=47A033816
- Numbers having four 2's in base 5.at n=23A043360
- Numbers whose base-3 representation contains exactly three 0's and no 1's.at n=36A044980
- Partial sums of A045954.at n=45A045964
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i) where T is A049627.at n=44A049630
- Sum of a(n) terms of 1/k^(5/6) first exceeds n.at n=19A056181
- a(n) is the number of divisors of n-th even perfect number.at n=16A061645
- a(n) = a(n-1) + sum of decimal digits of n^n.at n=38A071421
- a(n) = n-th squarefree number beginning with n.at n=44A077687
- a(n) = 3*n^2 - 1.at n=38A080663
- Numbers k such that 10^k + 9 is prime.at n=16A088275
- a(n) is the area of the triangle with sides prime(n), prime(n+2) and prime(n+4), rounded down to the nearest integer.at n=21A096384
- Molien series for group of order 4608 acting on joint weight enumerators of a pair of binary doubly-even self-dual codes.at n=31A097870
- Least positive integer that can be represented as sum of a semiprime and a square in exactly n ways.at n=39A101181
- Numbers m such that (1+i)^m - i is a Gaussian prime.at n=21A103329
- <h[d,d],s[d,d]*s[d,d]*s[d,d]> where h[d,d] is a homogeneous symmetric function, s[d,d] is a Schur function indexed by two parts, * represents the Kronecker product and <, > is the standard scalar product on symmetric functions.at n=26A115375
- a(1)=8; a(n)=floor((41+sum(a(1) to a(n-1)))/5).at n=35A120176