3583
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3584
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3582
- Möbius Function
- -1
- Radical
- 3583
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 100
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 502
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = smallest number with shortest addition chain of length n.at n=16A003064
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=18A004966
- From relations between Siegel theta series.at n=42A006476
- Coordination sequence T3 for Zeolite Code HEU.at n=39A008118
- Coordination sequence T12 for Zeolite Code MFI.at n=38A008164
- a(n) = 2*a(n-2) + 1.at n=19A010737
- Expansion of (1+x)/(1-x-x^2-x^4-x^5).at n=14A014743
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=13A020399
- Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed).at n=41A023108
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=30A023288
- Convolution of natural numbers with Beatty sequence for the golden mean A000201.at n=22A023541
- Triangle of numbers of permutations eliminating just k cards out of n in game of Mousetrap.at n=39A028305
- The 5x + 1 sequence beginning at 7.at n=21A028389
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 59.at n=10A031557
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=26A031796
- Lower prime of a difference of 10 between consecutive primes.at n=47A031928
- The 20 primes inside the 4 X 4 matrix with all the rows, columns and major diagonals being reversible non-palindromic and distinct primes (the smallest prime-magical square): [ 1933, 1283, 9551, 3719 ].at n=8A032530
- Primes of form x^2+62*y^2.at n=28A033240
- Primes of form x^2+86*y^2.at n=21A033255
- Sums of 11 distinct powers of 2.at n=2A038462