5059
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5060
- 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
- 5058
- Möbius Function
- -1
- Radical
- 5059
- 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
- 72
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 677
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes.at n=33A000701
- Molien series of 4-dimensional representation of u.g.g.r. #9.at n=11A013977
- Molien series of 4-dimensional representation of u.g.g.r. #8.at n=22A013978
- Numbers k such that the continued fraction for sqrt(k) has period 82.at n=8A020421
- Primes that remain prime through 3 iterations of function f(x) = 7x + 6.at n=10A023290
- Number of partitions of n into an even number of parts.at n=33A027187
- a(n) = Sum_{k=0..n} (k+1) * A026758(n, n-k).at n=9A027236
- 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=2A031569
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=16A031804
- Lower prime of a difference of 18 between consecutive primes.at n=18A031936
- Primes that are decimal concatenations of n with n + 9.at n=7A032632
- Numbers whose base-4 representation contains exactly three 0's and three 3's.at n=17A045079
- Primes with first digit 5.at n=24A045711
- Discriminants of imaginary quadratic fields with class number 19 (negated).at n=16A046016
- Length of A001388(n).at n=28A046639
- Primes whose consecutive digits differ by 4 or 5.at n=19A048416
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049723.at n=20A049726
- Number of primes in the interval [prime(n), prime(n)^2].at n=47A054272
- Prime number spiral (clockwise, Southeast spoke).at n=13A054564
- Integers that can be expressed as the sum of consecutive primes in exactly 4 ways.at n=19A054999