4677
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6240
- Proper Divisor Sum (Aliquot Sum)
- 1563
- 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
- 3116
- Möbius Function
- 1
- Radical
- 4677
- 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
- 59
- 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
- Expansion of a modular function for Gamma_0(21).at n=18A002511
- Coordination sequence T1 for Zeolite Code AFO.at n=45A008015
- 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=34A031542
- Number of partitions of n into parts not of the form 25k, 25k+9 or 25k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=30A036008
- Numbers having four 2's in base 5.at n=26A043360
- Numbers having four 3's in base 6.at n=18A043384
- Numbers having three 6's in base 9.at n=9A043479
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 20.at n=14A050969
- First occurrence of n in A084511.at n=9A084517
- a(n) = Sum_{k=0..floor(n/3)} C(n-k, 2*k) * 2^k*3^(n-3*k).at n=7A099780
- Semiprimes which are the sum of two pentagonal numbers (A000326) in exactly two different ways.at n=22A120536
- a(n) is the smallest number such that the product of its digits is n times the sum of its digits, or 0 if no such number exists.at n=48A126789
- First part "s" of A159000(n).at n=45A159001
- Places n for which A046132(n) and A006512(n) is a twin prime pair.at n=33A174042
- A126789 with zeros removed.at n=29A176623
- The number of partitions of n in which the first part is at least four times larger than the second part.at n=45A186445
- Triangle T(n,k) = coefficient of x^n in expansion of ((1-sqrt(1-4*x))/((1-x)*2))^k = sum(n>=k, T(n,k) * x^n).at n=49A200965
- Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and even nonnegative determinant.at n=4A211156
- a(n) = number of n-lettered words in the alphabet {1, 2, 3} with as many occurrences of the substring (consecutive subword) [1, 1, 2] as of [1, 2, 2].at n=8A211290
- Number of ordered triples (w,x,y) with all terms in {-n,...,0,...,n} and w + x + y = 2.at n=39A211441