5283
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 7644
- Proper Divisor Sum (Aliquot Sum)
- 2361
- 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
- 3516
- Möbius Function
- 0
- Radical
- 1761
- Omega Function (Ω)
- 3
- 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
- 103
- 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
- a(n) is the sum over all floor(k^3/n), k=0 to n inclusive.at n=26A014818
- Numbers k such that Fib(k) == -34 (mod k).at n=33A023169
- a(n) = T(2*n+1, n+3), T given by A027011.at n=4A027018
- a(n) = greatest number in row n of array T given by A027011.at n=13A027020
- Terminating decimals of length n of form p/5^q using at most one of each nonzero digit.at n=25A027905
- a(n) = T(n, 2*n-7), T given by A027960.at n=9A027969
- 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 71.at n=20A031569
- Numbers k such that 239*2^k+1 is prime.at n=19A032496
- Number of 5-ary rooted trees with n nodes and height exactly 4.at n=17A036635
- Numbers congruent to 2,3,6,11 mod 12 missing from A042944 (conjectured to be finite).at n=28A042945
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=23A045940
- Partial sums of the sequence (A001097) of twin primes.at n=38A048598
- a(n) = Sum{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; initial terms are 2,2,3.at n=14A049873
- Number of pairings on a bracelet; number of chord diagrams that can be turned over and having n chords.at n=7A054499
- Composites which use more than all their digits in their prime factorization.at n=44A074237
- Numbers m such that (Pi+e)^m is closer to its nearest integer than any value of (Pi+e)^k for 1 <= k < m.at n=12A080286
- Number of numbers with 5 decimal digits and sum of digits = n.at n=20A090580
- Number of numbers with 5 decimal digits and sum of digits = n.at n=24A090580
- Consider the family of directed multigraphs enriched by the species of directed sets. Sequence gives number of those multigraphs with n labeled loops and arcs.at n=4A099694
- Numbers k such that the k-th and (k+1)-th primes have the same sum of squares of digits.at n=18A109182