3504
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 9176
- Proper Divisor Sum (Aliquot Sum)
- 5672
- 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
- 1152
- Möbius Function
- 0
- Radical
- 438
- Omega Function (Ω)
- 6
- 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
- 56
- 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
- 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.at n=32A001106
- Coordination sequence for D_4 lattice.at n=6A007900
- Coordination sequence T2 for Zeolite Code BOG.at n=42A008050
- Coordination sequence T2 for Zeolite Code HEU.at n=39A008117
- Coordination sequence T7 for Zeolite Code MFS.at n=37A008179
- Coordination sequence T1 for Zeolite Code SGT.at n=37A008229
- Coordination sequence for MgZn2, Position Zn2.at n=15A009938
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-5).at n=22A023435
- Sum of distinct prime divisors of prime(n)*prime(n-1) - 1.at n=45A023521
- Number of partitions of n into distinct parts >= 3.at n=61A025148
- a(n) = [ 2nd elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n.at n=23A025193
- a(n) = Sum_{k=0..floor(n/2)+1} (k+1) * A026009(n, k).at n=10A027291
- Even 9-gonal (or enneagonal) numbers.at n=16A028992
- Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 7.at n=41A031410
- Least term in period of continued fraction for sqrt(n) is 5.at n=18A031429
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=24A033580
- Coordination sequence T5 for Zeolite Code SFF.at n=39A038436
- Numbers having three 6's in base 8.at n=18A043447
- Numbers n such that string 0,4 occurs in the base 10 representation of n but not of n-1.at n=37A044336
- Numbers n such that string 0,4 occurs in the base 10 representation of n but not of n+1.at n=37A044717