15299
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15300
- 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
- 15298
- Möbius Function
- -1
- Radical
- 15299
- 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
- 115
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1787
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n into parts 1/2, 3/4, 7/8, 15/16, etc.at n=17A002843
- Coordination sequence for sigma-CrFe, Position Xa.at n=31A009962
- Smallest prime with "n^2" as central digit(s).at n=23A038370
- Primes for which A049076 >= 4.at n=16A049090
- Primes p whose order of primeness A049076(p) is >= 6.at n=3A049202
- Primes for which A049076(p) >= 5.at n=6A049203
- Prime recurrence: a(n+1) = a(n)-th prime, with a(1) = 4.at n=6A057450
- Primes for which A049076(p) = 7.at n=1A058322
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 8*p+1 (A023228) is also prime.at n=36A075706
- Balanced primes of order four.at n=14A082079
- a(1) = 3; a(n) = smallest number such that the forward as well as the reverse n-th partial concatenation is a prime for n>1. (Reverse concatenation is taken term-wise and not digit-wise).at n=38A083993
- k's first occurrence in A102932.at n=45A101255
- Dispersion of the primes (an array read by downward antidiagonals).at n=29A114537
- G.f. satisfies: A(x) = 1/(1-x) * A(x^2)*A(x^3)*A(x^4)*...*A(x^n)*...at n=26A129374
- Square array T[i+1,j] = prime(T[i,j]), T[1,j] = j-th nonprime = A018252(j); read by upward antidiagonals.at n=34A138947
- Primes congruent to 24 mod 47.at n=38A142375
- Primes congruent to 35 mod 53.at n=34A142565
- Primes congruent to 9 mod 55.at n=39A142608
- Primes congruent to 18 mod 59.at n=35A142745
- Primes congruent to 49 mod 61.at n=24A142847