3200
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 7905
- Proper Divisor Sum (Aliquot Sum)
- 4705
- 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
- 1280
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 9
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 30
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- 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=31A000132
- Number of compositions of n into 4 ordered relatively prime parts.at n=26A000742
- a(n) = 2*n^2.at n=40A001105
- Denominators of coefficients in asymptotic expansion of (2/Pi)*Integral_{0..oo} (sin x / x)^n dx.at n=3A002305
- Numbers of the form 2^i*5^j with i, j >= 0.at n=38A003592
- Degrees of irreducible representations of Higman-Sims group HS.at n=23A003908
- a(n) = n*(n+1)*(n+8)/6.at n=24A006503
- Expansion of 1/eta(q)^24; Fourier coefficients of T_{14}.at n=3A006922
- Number of graceful permutations of length n.at n=13A006967
- n! in base n.at n=5A006993
- Number of simple juggling patterns of n balls.at n=6A007871
- Coordination sequence T2 for Zeolite Code EDI.at n=40A008085
- Coordination sequence T7 for Zeolite Code VNI.at n=35A009913
- Values of n where (phi(n) * sigma(n))/n is an integer and increases.at n=43A015707
- Expansion of Product_{m>=1} (1 + m*q^m)^8.at n=5A022636
- Number of partitions of n into 5 unordered relatively prime parts.at n=49A023025
- n written in fractional base 7/3.at n=49A024640
- Numbers that are the sum of 4 nonzero squares in exactly 2 ways.at n=47A025358
- Numbers of form 2^i*10^j, with i, j >= 0.at n=28A025612
- Theta series of 6-dimensional lattice of det 8.at n=21A029543