1599
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2352
- Proper Divisor Sum (Aliquot Sum)
- 753
- 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
- 960
- Möbius Function
- -1
- Radical
- 1599
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- Smith Number
- no
- 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
- a(n) = 4*n^2 - 1.at n=20A000466
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=13A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=13A004965
- a(n) = n*(n+2) = (n+1)^2 - 1.at n=39A005563
- a(n) = n*nextprime(n).at n=39A013636
- Numbers k such that the periodic part of the continued fraction for sqrt(k) contains a single 1.at n=46A013648
- Pisot sequence L(4,5).at n=14A018910
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NES = NU-87 H4[Al4Si64O136].nH2O starting with a T4 atom.at n=10A019205
- Pseudoprimes to base 40.at n=12A020168
- Pisot sequence L(7,10).at n=12A020743
- a(n) = n*(19*n - 1)/2.at n=13A022276
- Convolution of A000201 and A014306.at n=47A023666
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...).at n=15A024479
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = A001950 (upper Wythoff sequence).at n=16A025085
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...).at n=14A025099
- Expansion of Product_{m>=1} (1 + q^m)^m; number of partitions of n into distinct parts, where n different parts of size n are available.at n=14A026007
- Distinct odd elements in the 5-Pascal triangle A028313.at n=43A028319
- Numbers whose base-10 representation has 2 fewer 0's than 9's.at n=29A031500
- Lucky numbers with size of gaps equal to 12 (lower terms).at n=18A031894
- Numbers k such that 149*2^k+1 is prime.at n=20A032424