1575
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 3224
- Proper Divisor Sum (Aliquot Sum)
- 1649
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 720
- 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
- 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
- 60
- 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
- a(n) is the number of partitions of n (the partition numbers).at n=24A000041
- Number of permutations in the symmetric group S_n that have odd order.at n=7A000246
- Numbers n such that n / product of digits of n is a square.at n=12A001104
- a(n) = (5^n + 5^floor(n/2))/2.at n=5A001447
- Numbers that are the sum of 6 positive 5th powers.at n=41A003351
- The smaller of a betrothed pair.at n=3A003502
- a(n) = -(-1)^n*2*(2*n+1)!*Bernoulli(2*n)/(n!*2^n).at n=4A004193
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=1A005231
- Betrothed (or quasi-amicable) numbers.at n=5A005276
- a(n) = n*(5*n+1)/2.at n=25A005475
- a(n) = n*(n+1)^2/2.at n=14A006002
- Primitive pseudoperfect numbers.at n=26A006036
- Odd primitive abundant numbers.at n=1A006038
- Primitive nondeficient numbers.at n=22A006039
- Expansion of e.g.f. (1+x)^(exp(x)).at n=7A007116
- Number of free subsets of multiplicative group of GF(7^n).at n=3A007233
- a(n) = floor(n*(n+2)*(2*n-1)/8).at n=17A007518
- Numbers that are divisible by the product of their digits.at n=49A007602
- Number of 5-leaf rooted trees with n levels.at n=8A007715
- Coordination sequence T3 for Zeolite Code AEI.at n=30A008003