10691
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10692
- 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
- 10690
- Möbius Function
- -1
- Radical
- 10691
- 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
- 161
- 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
- 1304
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Wagstaff numbers: numbers k such that (2^k + 1)/3 is prime.at n=25A000978
- Indices of prime Lucas numbers.at n=33A001606
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=42A007700
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=33A024599
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=32A025113
- Primes that yield a different prime when rotated by 180 degrees.at n=31A048890
- Least prime in A031936 (lesser of 18-twins) whose distance to the next 18-twin is 2*n.at n=22A052358
- Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 that survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms.at n=23A059762
- Numbers k such that floor(phi^k) is prime, where phi is the golden ratio.at n=33A059791
- Numbers k such that 2^k + 1 has just two distinct prime factors.at n=45A066263
- The first of two consecutive primes with equal digital sums.at n=26A066540
- Numbers k such that 2^k + 1 is the product of two distinct primes.at n=43A073936
- Primes that are still primes when turned upsided down.at n=35A080788
- Primes that are a concatenation of a prime and its first digit.at n=34A085414
- Primes p = prime(n) such that p + sum-of-digits(p) +- 1 = prime(n+1).at n=42A090180
- Numbers k such that 2^k + 1 is a semiprime.at n=44A092559
- a(n) = (1/n!)*A001565(n).at n=21A094792
- Primes of the form 4*k-1 such that 8*k-1 and 16*k-1 are also primes.at n=20A101791
- Primes p such that 2p+1, 4p+3, 6p+5 are all primes.at n=11A107020
- Indices of prime Jacobsthal numbers.at n=26A107036