3837
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5120
- Proper Divisor Sum (Aliquot Sum)
- 1283
- 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
- 2556
- Möbius Function
- 1
- Radical
- 3837
- 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
- 131
- 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
- Numbers that are the sum of 8 positive 6th powers.at n=38A003364
- Coordination sequence T3 for Zeolite Code AFR.at n=47A008021
- Coordination sequence T1 for Zeolite Code AST.at n=46A008036
- Coordination sequence T1 for Zeolite Code BOG.at n=44A008049
- Coordination sequence T3 for Zeolite Code DFO.at n=47A009877
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=28A020385
- Coordination sequence T1 for Zeolite Code MWW.at n=41A024986
- 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 40.at n=24A031538
- Numbers k such that 171*2^k+1 is prime.at n=15A032462
- Number of partitions in parts not of the form 9k, 9k+1 or 9k-1. Also number of partitions with no part of size 1 and differences between parts at distance 3 are greater than 1.at n=42A035940
- 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=29A036008
- Sums of 10 distinct powers of 2.at n=36A038461
- Numerators of continued fraction convergents to sqrt(762).at n=8A042468
- a(n)=(s(n)+4)/9, where s(n)=n-th base 9 palindrome that starts with 5.at n=41A043076
- Numbers whose base-4 representation contains exactly one 1 and four 3's.at n=35A045118
- Numbers whose base-4 representation contains exactly one 2 and four 3's.at n=35A045142
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 14.at n=22A050963
- Moebius transform of A000048 (starting at term 0).at n=17A054174
- Number of (0,1)-strings of length n with no occurrences of the substrings 10101101 and 1110101.at n=12A062257
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 64.at n=18A068045