15073
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15074
- 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
- 15072
- Möbius Function
- -1
- Radical
- 15073
- 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
- 1760
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- cos(arcsinh(x)*cos(x))=1-1/2!*x^2+17/4!*x^4-385/6!*x^6+15073/8!*x^8...at n=4A012639
- exp(cosh(x)*arcsin(x))=1+x+1/2!*x^2+5/3!*x^3+17/4!*x^4+65/5!*x^5...at n=8A012765
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 68 ones.at n=20A031836
- Least prime in A023200 (lesser of 4-twins) such that the distance to the next 4-twin is 6*n.at n=30A052351
- First term of weak prime quintets: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=37A054823
- Primes p such that x^8 = 2 has a solution mod p, but x^(8^2) = 2 has no solution mod p.at n=37A070184
- Primes p such that little googol + p is prime.at n=31A108255
- a(n) = 15*n^2 - 9*n + 1.at n=32A134154
- Primes of the form x^2 + 1848*y^2.at n=40A139668
- Primes of the form 57x^2+18xy+193y^2.at n=27A140631
- Primes congruent to 33 mod 47.at n=39A142384
- Primes congruent to 21 mod 53.at n=36A142551
- Primes congruent to 28 mod 59.at n=27A142755
- Primes congruent to 6 mod 61.at n=30A142804
- Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 14 ones in any 5 X 5 X 5 subtriangle.at n=11A154005
- Primes congruent to 35 mod 73.at n=24A154628
- Primes p such that both p^5 - 6 and p^5 + 6 are prime.at n=6A157256
- Primes p such that p^3-p^2-1 and p^3-p^2+1 are prime.at n=23A160858
- Primes expressed as the sum of square of digits of all primes.at n=20A181508
- Smallest prime factor of prime(n)^n + 1 having the form 2*k*n+1.at n=7A191546