1564
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3024
- Proper Divisor Sum (Aliquot Sum)
- 1460
- 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
- 704
- Möbius Function
- 0
- Radical
- 782
- Omega Function (Ω)
- 4
- 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
- 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
- yes
- Odd
- no
Appears in sequences
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=44A000603
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)).at n=41A001304
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=45A001859
- a(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.at n=3A004968
- Representation degeneracies for Ramond strings.at n=15A005303
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=12A007811
- Coordination sequence T1 for Zeolite Code HEU.at n=26A008116
- Coordination sequence for diamond.at n=25A008253
- Coordination sequence T3 for Zeolite Code VET.at n=24A009904
- Coordination sequence T2 for Zeolite Code VSV.at n=25A009915
- Coordination sequence for CaF2(2), F position.at n=25A009925
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTW = ZSM-12 Nan[AlnSi28-nO56] starting with a T4 atom.at n=10A019196
- Numbers k such that the continued fraction for sqrt(k) has period 28.at n=25A020367
- Number of partitions of n into composite parts.at n=60A023895
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric of S(n)) ], where S(n) = {3,4, ..., n+5}.at n=12A024194
- a(n) = Sum_{k=2..n} k*floor(n/k).at n=42A024917
- a(n) = (d(n)-r(n))/2, where d = A026054 and r is the periodic sequence with fundamental period (1,0,0,0).at n=21A026055
- Number of partitions of n into distinct parts, the least being even.at n=52A026833
- a(n) = n^2 + n + 4.at n=39A027689
- Numbers having period-2 7-digitized sequences.at n=27A031202