15101
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15102
- 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
- 15100
- Möbius Function
- -1
- Radical
- 15101
- 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
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1764
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = prime(n^2).at n=41A011757
- a(n) = ((n+1)-st Lucas number) - (n-th non-Lucas number).at n=18A014243
- Numbers k such that the continued fraction for sqrt(k) has period 41.at n=28A020380
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=36A023285
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=30A052232
- Shifts left under transform in formula line.at n=52A052336
- Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=37A054827
- Primes of form 100*k + 1.at n=42A062800
- Primes which can be expressed as concatenation of powers of 5 and 0's.at n=19A066596
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an isosceles integer triangle with integer area.at n=28A070145
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an acute integer triangle with integer area.at n=30A070146
- Number of times that the numerator of a sum generated from the set 1, 1/2, 1/3,..., 1/n is prime.at n=14A075188
- Primes p such that p*(p-1) divides 3^(p-1)-1.at n=22A081763
- Balanced primes of order seven.at n=16A096699
- Primes congruent to 14 mod 47.at n=39A142365
- Primes congruent to 49 mod 53.at n=31A142579
- Primes congruent to 56 mod 59.at n=34A142783
- Primes congruent to 34 mod 61.at n=27A142832
- Prime numbers ending in the prime number 101.at n=5A167626
- Expansion of 1/(1 - x - 4*x^2 + 4*x^3 - 2*x^4).at n=13A175713