2625
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4992
- Proper Divisor Sum (Aliquot Sum)
- 2367
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1200
- Möbius Function
- 0
- Radical
- 105
- 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
- yes
- 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
- 27
- 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
- no
- Odd
- yes
Appears in sequences
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=42A000326
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=23A000338
- Numbers k such that phi(k) = phi(k+1).at n=11A001274
- Centered octahedral numbers (crystal ball sequence for cubic lattice).at n=12A001845
- G.f.: (1 + x^3 + x^4 + ... + x^12 + x^15)/Product_{i=1..10} (1 - x^i).at n=22A003403
- a(n) = C(n,1) + C(n,2) + C(n,3), or n*(n^2 + 5)/6.at n=25A004006
- Number of strict first-order maximal independent sets in cycle graph.at n=27A007391
- Coordination sequence T1 for Zeolite Code ATS.at n=37A008038
- Coordination sequence T1 for Zeolite Code JBW.at n=34A008121
- Numbers k such that k^2 and k have same last 3 digits.at n=11A008853
- Odd pentagonal numbers.at n=21A014632
- Numbers k that divide s(k), where s(1)=1, s(j)=21*s(j-1)+j.at n=21A014872
- Expansion of 1/(1-x^5-x^6-x^7).at n=52A017838
- Pisot sequence T(7,10), a(n) = floor(a(n-1)^2/a(n-2)).at n=28A020752
- a(n) = (prime(n)^2 - 1)/24.at n=51A024702
- a(n) = least m such that if r and s in {1/1, 1/4, 1/7, ..., 1/(3n-2)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=23A024836
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=16A024848
- Coordination sequence T4 for Zeolite Code IFR.at n=36A024985
- 5th-order Patalan numbers (generalization of Catalan numbers).at n=4A025750
- Number of partitions of n that do not contain 9 as a part.at n=27A027343