3700
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 8246
- Proper Divisor Sum (Aliquot Sum)
- 4546
- 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
- 1440
- Möbius Function
- 0
- Radical
- 370
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 131
- 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
- Numbers that are the sum of 2 squares in exactly 3 ways.at n=38A000443
- a(n) = floor(1000*log_2(n)).at n=12A004265
- a(n) = round(1000*log_2(n)).at n=12A004266
- Number of points on surface of tetrahedron; coordination sequence for sodalite net (equals 2*n^2+2 for n > 0).at n=43A005893
- Number of factorization patterns of polynomials of degree n over F_5.at n=16A006170
- Coordination sequence T1 for Zeolite Code ACO, ASV, EDI, and THO.at n=43A008084
- Coordination sequence T2 for Zeolite Code EDI.at n=43A008085
- Coordination sequence T1 for Zeolite Code SGT.at n=38A008229
- Coordination sequence for Paracelsian.at n=41A008260
- a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=19A011934
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t = A002808 (composite numbers).at n=28A023863
- Numbers that are the sum of 2 nonzero squares in exactly 3 ways.at n=36A025286
- Numbers that are the sum of 2 distinct nonzero squares in exactly 3 ways.at n=35A025304
- a(n) = 2*a(n-1) + (n-2)*a(n-2) with a(0) = 1, a(1) = 2.at n=8A027412
- 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 30.at n=34A031528
- Quotient of 'base-3' division described in A032537.at n=27A032538
- Four times pentagonal numbers: a(n) = 2*n*(3*n-1).at n=25A033579
- Duplicate of A008084.at n=43A033598
- Numbers divisible by the sum of the cubes of their digits.at n=43A034088
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 2 (mod 5).at n=41A035566