13339
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13340
- 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
- 13338
- Möbius Function
- -1
- Radical
- 13339
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 169
- 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
- 1585
- 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=36A014818
- Greatest prime divisor of prime(n)*prime(n-1) - 1.at n=49A023517
- Least odd prime divisor of prime(n)*prime(n-1) - 1, or 1 if prime(n)*prime(n-1) - 1 is a power of 2.at n=50A023519
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 4 (mod 5).at n=60A035584
- Values of A (the short leg) of a Pythagorean triangle with A and C (the hypotenuse) both prime and part of a twin prime.at n=29A051642
- Prime numbers with odd digits in ascending order.at n=44A061244
- Geometric mean of the digits = 3. In other words, the product of the digits is = 3^k where k is the number of digits.at n=34A061427
- Lesser of two consecutive primes such that p + n*q is a perfect square, p < q.at n=30A064543
- Centered 18-gonal numbers.at n=38A069131
- Geometric mean of digits = 3 and digits are in nondecreasing order.at n=9A069516
- Primes with either no internal digits or all internal digits are 3.at n=52A069678
- Primes for which the four closest primes are smaller.at n=29A075030
- Expansion of (1-x)^(-1)/(1+x+2*x^3).at n=20A077906
- Primes in which the digit string can be partitioned into three parts such that third (least significant) part is the product of the first two.at n=8A088294
- Indices of prime Pell numbers.at n=24A096650
- Smallest prime p(i) such that between 2p(i) and 2p(i+1) there exist n primes.at n=12A104380
- Primes p such that p's set of distinct digits is {1,3,9}.at n=25A108383
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 8.at n=28A109562
- Numbers of the form k^2 - k - 1 whose digit sum is also a number of the form k^2 - k - 1.at n=41A117746
- Primes p such that p^2-p-1 and p^2-p+1 are twin primes.at n=32A120364