3712
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7650
- Proper Divisor Sum (Aliquot Sum)
- 3938
- 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
- 1792
- Möbius Function
- 0
- Radical
- 58
- 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
- 25
- 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 but not sum of 3 nonzero squares.at n=44A000549
- Numbers that are the sum of 9 positive 6th powers.at n=41A003365
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)^2*(1-x^4)*(1-x^5)).at n=35A003402
- Number of n-step spirals on hexagonal lattice.at n=10A006776
- Coordination sequence T2 for Zeolite Code ATS.at n=44A008039
- Coordination sequence T5 for Zeolite Code NES.at n=39A008209
- Coordination sequence for alpha-Mn, Position Mn4.at n=16A009953
- A B_2 sequence: a(n) = least value such that sequence increases and pairwise sums of distinct elements are all distinct.at n=46A011185
- Number of parts in all partitions of all the numbers in {1,2,...,n} into distinct parts.at n=25A015724
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=27A020379
- Numbers that are the sum of 4 nonzero squares in exactly 4 ways.at n=51A025360
- a(n) = d(n)/2, where d = A026040.at n=25A026041
- 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 29.at n=24A031527
- Numbers k such that 193*2^k+1 is prime.at n=23A032473
- Every run of digits of n in base 15 has length 2.at n=20A033013
- Numbers whose base-15 expansion has no run of digits with length < 2.at n=35A033028
- Composite numbers whose prime factors contain no digits other than 2 and 9.at n=24A036313
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=22A036333
- Expansion of ( Sum_{k>=0} k*q^(k^2) )^8.at n=29A037217
- Positive integers with more base-15 runs of even length than odd.at n=21A044841