1582
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
- 8
- Divisor Sum
- 2736
- Proper Divisor Sum (Aliquot Sum)
- 1154
- 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
- 672
- Möbius Function
- -1
- Radical
- 1582
- 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
- 78
- 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
- yes
- Odd
- no
Appears in sequences
- Dying rabbits: a(0) = 1; for 1 <= n <= 12, a(n) = Fibonacci(n); for n >= 13, a(n) = a(n-1) + a(n-2) - a(n-13).at n=17A000044
- A nonlinear binomial sum.at n=13A000126
- Number of strict 5th-order maximal independent sets in cycle graph.at n=41A007393
- Coordination sequence T1 for Zeolite Code GME and AFX.at n=30A008110
- Numbers k such that phi(k) + 12 | sigma(k).at n=43A015805
- Powers of fifth root of 17 rounded to nearest integer.at n=13A018163
- Powers of fifth root of 17 rounded up.at n=13A018164
- Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13.at n=23A019450
- Coordination sequence T3 for Zeolite Code CZP.at n=26A019458
- Number of restricted forests in Moebius ladder M_n.at n=2A020872
- Place where n-th 1 occurs in A023129.at n=43A022791
- Positive numbers k such that k and 5*k are anagrams in base 9 (written in base 9).at n=0A023082
- Numbers that are the sum of 4 positive cubes in exactly 3 ways.at n=2A025405
- Numbers that are the sum of 4 positive cubes in 3 or more ways.at n=2A025407
- Numbers that are the sum of 4 distinct positive cubes in exactly 2 ways.at n=8A025409
- Numbers that are the sum of 4 distinct positive cubes in 2 or more ways.at n=9A025412
- Numbers k such that k*(k+4) is a palindrome.at n=13A028555
- Numbers that, when expressed in base 4 and then interpreted in base 10, yield a multiple of the original number.at n=16A032540
- Number of 'zig-zag' self-avoiding walks on an n X n lattice from a corner to opposite one.at n=7A034165
- a(i) is a square mod a(j), i <> j.at n=12A034903