4997
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5280
- Proper Divisor Sum (Aliquot Sum)
- 283
- 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
- 4716
- Möbius Function
- 1
- Radical
- 4997
- 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
- 178
- 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
- Coordination sequence T1 for Zeolite Code BIK.at n=43A008047
- Nine iterations of Reverse and Add are needed to reach a palindrome.at n=30A015990
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=39A020385
- Character of extremal vertex operator algebra of rank 19/2.at n=4A028528
- Numbers whose base-5 representation contains exactly two 2's and three 4's.at n=13A045288
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 14.at n=26A050963
- Numbers which need nine 'Reverse and Add' steps to reach a palindrome.at n=29A065214
- Binary widths of A072790.at n=15A072791
- a(n) = smallest k such that 4k has a digit sum = n.at n=34A077490
- Largest n-digit number beginning with n and having n divisors, or 0 if no such number exists.at n=3A077516
- a(n) = 997*n + 1009.at n=4A100776
- Sum of the vertices of ordered 3 prime sided prime triangles.at n=43A105101
- a(n) = 8*n^2 - 3.at n=24A108928
- Number of 4-indecomposable (connected) graphs on n nodes.at n=17A128526
- Numbers k whose representation can be split in two parts which can be used as seeds for a Fibonacci-like sequence containing k itself.at n=38A130792
- a(n) integers with digit sum a(n); a(n+1) is the smallest integer > a(n).at n=23A136317
- Numbers k such that k and k^2 use only the digits 0, 2, 4, 7 and 9.at n=19A136907
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, -1), (1, -1, 1), (1, 1, 1)}.at n=7A149639
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, -1, 1), (0, 1, -1), (1, 1, 1)}.at n=7A149701
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (1, -1, 0), (1, 0, -1), (1, 1, 1)}.at n=7A149702