13963
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13964
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13962
- Möbius Function
- -1
- Radical
- 13963
- 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
- 89
- 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
- 1649
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Indices of prime Lucas numbers.at n=35A001606
- Expansion of 1/((1-x)^3*(1-x^2)^2*(1-x^3)).at n=24A002625
- a(n) = [ a(n-1)/a(1) ] + [ a(n-3)/a(3) ] + [ a(n-5)/a(5) ] + ..., for n >= 3.at n=39A022872
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 62 ones.at n=31A031830
- Denominators of continued fraction convergents to sqrt(999).at n=10A042935
- Numbers k such that floor(phi^k) is prime, where phi is the golden ratio.at n=35A059791
- Column 6 of triangle A091602.at n=42A091609
- Prime numbers which when written in base 7 have a composite digit-sum.at n=11A096790
- Smallest prime equal to the sum of exactly 2n+1 distinct odd primes in at least n ways.at n=38A100697
- Primes congruent to 31 mod 43.at n=40A142280
- Primes congruent to 4 mod 47.at n=31A142356
- Primes congruent to 47 mod 49.at n=38A142454
- Primes congruent to 24 mod 53.at n=27A142554
- Primes congruent to 48 mod 55.at n=38A142635
- Primes congruent to 55 mod 57.at n=40A142699
- Primes congruent to 39 mod 59.at n=28A142766
- Primes congruent to 55 mod 61.at n=27A142853
- Primes p of the form A152539(n) + 1.at n=25A152540
- Five-digit mountain-type primes that increase to and decrease from the central digit, including palindromes.at n=23A156116
- Primes p such that floor(phi^p) is prime.at n=31A168033