2265
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
- 8
- Divisor Sum
- 3648
- Proper Divisor Sum (Aliquot Sum)
- 1383
- 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
- -1
- Radical
- 2265
- Omega Function (Ω)
- 3
- 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
- 63
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Number of partitions of n into parts 2, 3, 4, 5, 6, 7.at n=54A001996
- a(n+1) = a(n) + 2n*(2n+1)*a(n-1), with a(0) = a(1) = 1.at n=5A003148
- a(n) = n*(5*n+1)/2.at n=30A005475
- Coordination sequence T4 for Zeolite Code RTH.at n=33A009896
- Powers of fifth root of 5 rounded to nearest integer.at n=24A018127
- Powers of fifth root of 5 rounded up.at n=24A018128
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite PAR = Partheite Ca8[Al16Si16O60(OH)8].16H2O starting with a T3 atom.at n=5A019048
- Numbers k such that the continued fraction for sqrt(k) has period 30.at n=31A020369
- Base 6 expansion uses each positive digit just once.at n=13A023744
- a(n) = n^2 + n + 9.at n=47A027694
- Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^5.at n=22A029842
- Coordination sequence T1 for Zeolite Code CFI.at n=32A033599
- Numbers n such that digit sum of n equals digit sum of 'juxtaposition' and 'sum' of its prime factors (counted with multiplicity).at n=42A036921
- Odd composite numbers n such that the digit sum of n equals digit sum of sum of its prime factors (counted with multiplicity).at n=30A036923
- Digit sum of composite odd number equals digit sum of juxtaposition of its prime factors (counted with multiplicity).at n=39A036925
- Digit sum of 'odd' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=18A036927
- Numbers n such that string 3,1 occurs in the base 8 representation of n but not of n-1.at n=40A044212
- Numbers n such that string 8,6 occurs in the base 9 representation of n but not of n-1.at n=30A044329
- Numbers n such that string 6,5 occurs in the base 10 representation of n but not of n-1.at n=24A044397
- Numbers n such that string 3,1 occurs in the base 8 representation of n but not of n+1.at n=40A044593