4736
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9690
- Proper Divisor Sum (Aliquot Sum)
- 4954
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2304
- Möbius Function
- 0
- Radical
- 74
- Omega Function (Ω)
- 8
- 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
- 28
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of words of length n in a certain language.at n=34A005819
- a(n) = 10*n^3 - 6*n^2.at n=8A006592
- Position of n^3 + 9 in A024975.at n=34A024979
- Coordination sequence T5 for Zeolite Code MWW.at n=46A024990
- Numbers that are the sum of 4 nonzero squares in exactly 2 ways.at n=50A025358
- Greatest number in row n of array T given by A027157.at n=9A027168
- 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 33.at n=23A031531
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=33A036333
- Number of partitions satisfying cn(1,5) <= cn(0,5) + cn(2,5) and cn(1,5) <= cn(0,5) + cn(3,5) and cn(4,5) <= cn(0,5) + cn(2,5) and cn(4,5) <= cn(0,5) + cn(3,5).at n=35A039874
- Numbers whose base-4 representation contains exactly four 0's and two 2's.at n=14A045059
- Expansion of e.g.f.: exp(4*z + exp(z) - 1).at n=5A045379
- Numbers that are divisible by exactly 8 primes counting multiplicity.at n=42A046310
- a(n) = Sum{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; initial terms are 0,1,2.at n=15A049858
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 3 skipped primes.at n=34A050770
- Number of unlabeled digraphs with n nodes and an odd number of arcs.at n=4A055969
- Coordination sequence T5 for Zeolite Code MTF.at n=41A057308
- Number of 3-rowed binary matrices with n ones and no zero columns, up to row and column permutation.at n=22A058053
- Numbers k such that phi(x) = k has exactly 12 solutions.at n=16A060675
- Intrinsic 8-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=39A060878
- Maximal number of 132 patterns in a permutation of 1,2,...,n.at n=39A061061