15227
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15228
- 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
- 15226
- Möbius Function
- -1
- Radical
- 15227
- 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
- 146
- 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
- 1777
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=19A022464
- Palindromic primes in base 4.at n=39A029972
- Values of Newton-Gregory forward interpolating polynomial (1/6)*(4*n^4 - 60*n^3 + 347*n^2 - 927*n + 978).at n=16A030442
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(0,5) + cn(2,5) + cn(3,5).at n=38A039866
- Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=19A050268
- a(n) is the first prime p from A031924 such that A052180(primepi(p)) = prime(n).at n=22A052229
- Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number).at n=34A055472
- Convoluted convolved Fibonacci numbers G_6^(r).at n=29A089111
- Chen primes p such that their p + 2 counterpart is a golden semiprime.at n=3A109875
- a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.at n=33A117081
- Primes congruent to 46 mod 47.at n=35A142397
- Primes congruent to 16 mod 53.at n=35A142546
- Primes congruent to 5 mod 59.at n=33A142732
- Primes congruent to 38 mod 61.at n=30A142836
- INVERT transform of the rabbit sequence, A005614.at n=19A144023
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 14: primes in A146337.at n=16A146359
- Collatz (or 3x+1) trajectory starting at 703.at n=24A161021
- a(n) = (4*n^3 - 6*n^2 + 8*n + 3)/3.at n=23A161712
- Numbers k such that Sum_(i=1..k) prime(i)*(-1)^(i+1) is a square.at n=21A175117
- Fajtlowicz p-primes.at n=27A185955