1593
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2400
- Proper Divisor Sum (Aliquot Sum)
- 807
- 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
- 1044
- Möbius Function
- 0
- Radical
- 177
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 122
- 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
- Number of permutation groups of degree n; also number of conjugacy classes of subgroups of symmetric group S_n; also number of molecular species of degree n.at n=10A000638
- Number of partitions of n into parts 5k+2 or 5k+3.at n=59A003106
- Numbers that are the sum of 11 positive 6th powers.at n=25A003367
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=8A004966
- Positions of remoteness 4 in Beans-Don't-Talk.at n=17A005696
- Sum of the first n primes.at n=30A007504
- Coordination sequence T1 for Zeolite Code GOO.at n=27A008111
- Positive integers k such that k-th triangular number is palindromic.at n=15A008509
- Coordination sequence T4 for Zeolite Code ZON.at n=28A009922
- a(1)=1, a(n) = n*4^(n-1) + a(n-1).at n=4A014916
- Number of ordered triples of integers from [ 1,n ] with no common factors between pairs.at n=30A015632
- Odd numbers k such that d(k) does not divide phi(k).at n=42A015734
- Number of 4's in all the partitions of n into distinct parts.at n=50A015739
- Number of partitions of n into distinct parts, none being 4.at n=47A015746
- Numbers k such that phi(k + 11) | sigma(k).at n=36A015831
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite EUO = EU-1 Nan[AlnSi112-nO224] starting with a T2 atom.at n=10A019121
- Pisot sequences L(3,7) or S(3,7).at n=7A020730
- Numbers with exactly 3 3's in their base-5 expansion.at n=34A023736
- Expansion of Product_{k>=1} (1 - x^k)^(-k^2).at n=8A023871
- Sum{T(i,j)}, 0<=i<=n, 0<=j<=n, T given by A026659.at n=9A026668