13783
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17280
- Proper Divisor Sum (Aliquot Sum)
- 3497
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10680
- Möbius Function
- -1
- Radical
- 13783
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 151
- 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
- Numbers k such that k, k+1, k+2 and k+3 have the same number of divisors.at n=17A006601
- Reverse and Add! sequence starting with 196.at n=4A006960
- Expansion of 1/((1-6x)(1-8x)(1-10x)(1-11x)).at n=3A028213
- Numerators of continued fraction convergents to sqrt(593).at n=8A042136
- Numerators of continued fraction convergents to sqrt(766).at n=7A042476
- Numbers whose base-4 representation contains exactly four 1's and three 3's.at n=23A045132
- Number of positions that are exactly n moves from the starting position in the Hockey Puck puzzle.at n=9A079736
- Products of 3 distinct safe primes.at n=35A157354
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^4<x^4+y^4.at n=27A211652
- G.f.: exp( Sum_{n>=1} A113184(n^2)*x^n/n ), where A113184(n) = difference between sum of odd divisors of n and sum of even divisors of n.at n=15A224340
- Number of n X 2 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=28A241050
- Number of partitions p of n such that the number of distinct parts is a part and max(p) - min(p) is a part.at n=48A241387
- Number of length n+4 0..2 arrays with no consecutive five elements summing to more than 2*2.at n=6A241930
- T(n,k)=Number of length n+4 0..k arrays with no consecutive five elements summing to more than 2*k.at n=34A241936
- Number of length 7+4 0..n arrays with no consecutive five elements summing to more than 2*n.at n=1A241943
- Reverse and Add! sequence starting with 295.at n=4A277338
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 966", based on the 5-celled von Neumann neighborhood.at n=13A284538
- Partial sums of A033617.at n=30A299903
- Number of odd-length twice-partitions of n into odd-length partitions.at n=19A358834
- Numbers that are the concatenation of three (not necessarily distinct) primes whose sum is prime, and are also the product of three (not necessarily distinct) primes whose sum is prime.at n=34A385452