15137
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
- 15138
- 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
- 15136
- Möbius Function
- -1
- Radical
- 15137
- 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
- 45
- 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
- 1768
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=28A020396
- Primes that remain prime through 3 iterations of function f(x) = 5x + 4.at n=24A023284
- Numerators of continued fraction convergents to sqrt(473).at n=7A041902
- Fourth term of strong prime quintets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=34A054811
- Numbers k such that k^2 + k + 1, k^3 + k + 1 and k^4 + k + 1 are all prime.at n=42A057683
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=32A060261
- Smaller of two consecutive primes whose sum is a square.at n=13A061275
- Primes of the form 2*n^2 - 1.at n=40A066436
- Centered 16-gonal numbers.at n=43A069129
- Smaller member of a twin prime pair with a square sum.at n=7A069496
- Prime(n) and prime(n+4) use the same digits.at n=16A069796
- a(n) is the n-th prime == 1 (mod n).at n=42A077317
- Third row of Pascal-(1,7,1) array A081582.at n=22A081593
- Beginning with 3, least prime, greater than the previous term, such that the arithmetic mean of first n terms is a prime.at n=34A090918
- Lesser of consecutive primes whose sum is a perfect power (A001597).at n=18A091624
- Primes of the form 47*k + 3.at n=39A100494
- Numbers k such that 7*10^k + 4*R_k + 5 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=9A103059
- a(n) = (n^3 - 7*n + 12)/6.at n=44A105163
- Primes whose digit reversal is a pentagonal number (A000326).at n=12A115706
- Twin prime pairs that sum to a power.at n=18A119768