1626
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3264
- Proper Divisor Sum (Aliquot Sum)
- 1638
- 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
- 540
- Möbius Function
- -1
- Radical
- 1626
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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
- yes
- Odd
- no
Appears in sequences
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=31A000123
- Number of different types of binary trees of height n.at n=6A002449
- A binomial coefficient summation.at n=9A003162
- 5!(2n-6)!/n!(n-1)! is an integer.at n=17A004785
- a(n) = round(n*phi^7), where phi is the golden ratio, A001622.at n=56A004942
- a(n) = ceiling(n*phi^7), where phi is the golden ratio, A001622.at n=56A004962
- Centered pentagonal numbers: (5n^2+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net.at n=25A005891
- Coordination sequence T1 for Zeolite Code ANA.at n=26A008031
- Coordination sequence T2 for Zeolite Code VFI.at n=31A008246
- Expansion of e.g.f. exp(tanh(x)*exp(x)).at n=7A009268
- Coordination sequence for NiAs(2), As position.at n=19A009945
- Coordination sequence for NiAs(2), Ni position.at n=19A009946
- Number of partitions of n into its divisors with at least one part of size 1.at n=63A014648
- Number of partitions of n into its divisors that are powers of primes (A000961) with at least one part of size 1.at n=63A014650
- Powers of cube root of 2 rounded up.at n=32A017981
- Powers of cube root of 4 rounded up.at n=16A017987
- Powers of cube root of 16 rounded up.at n=8A018023
- Powers of fifth root of 7 rounded down.at n=19A018132
- Coordination sequence T5 for Zeolite Code CGF.at n=28A019455
- Numbers k such that the continued fraction for sqrt(k) has period 30.at n=15A020369