3680
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9072
- Proper Divisor Sum (Aliquot Sum)
- 5392
- 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
- 1408
- Möbius Function
- 0
- Radical
- 230
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 38
- 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 ways of writing n as a sum of 5 squares.at n=34A000132
- Convolution of A000203 with itself.at n=19A000385
- Related to representation as sums of squares.at n=34A002292
- Theta series of D_5 lattice.at n=17A005930
- Coordination sequence T3 for Zeolite Code AEL.at n=40A008006
- Coordination sequence T2 for Zeolite Code AFR.at n=46A008020
- Coordination sequence T3 for Zeolite Code AFR.at n=46A008021
- Coordination sequence T3 for Zeolite Code BOG.at n=43A008051
- Expansion of exp(x)/cos(tanh(x)).at n=10A009292
- Four-fold exponential convolution of primes with themselves.at n=3A014352
- Coordination sequence for root lattice B_4.at n=5A022146
- Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.at n=24A028604
- Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^4.at n=23A028701
- 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=22A031527
- Every run of digits of n in base 15 has length 2.at n=18A033013
- Numbers whose base-15 expansion has no run of digits with length < 2.at n=33A033028
- Number of proper factorizations of the numbers with a record number of proper factorizations.at n=48A033834
- Coordination sequence T15 for Zeolite Code STT.at n=40A038427
- Positive integers with more base-15 runs of even length than odd.at n=19A044841
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 94 ).at n=40A063367