10781
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
- 10782
- 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
- 10780
- Möbius Function
- -1
- Radical
- 10781
- 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
- 29
- 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
- 1313
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=27A001135
- Number of colors that can be mixed with n >= 0 units of yellow, blue, red.at n=41A048241
- Primes with 10 as smallest positive primitive root.at n=28A061323
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=30A088483
- a(n) = Sum_{k=1..n} min(k!, binomial(n,k)).at n=13A092603
- Output of the linear congruential pseudo-random number generator used in function rand() as described in Kernighan and Ritchie, when seeded with 0.at n=25A096554
- Indices of primes in sequence defined by A(0) = 79, A(n) = 10*A(n-1) - 1 for n > 0.at n=9A101153
- Let pi be an unrestricted partition of n with the summands written as binary numbers; a(n) is the number of such partitions with an even number of binary ones.at n=37A102425
- Primes for which the weight as defined in A117078 is 9 and the gap as defined in A001223 is 8.at n=33A118922
- Primes p such that p^2 is an interprime = average of two successive primes.at n=35A123993
- Number of base 11 circular n-digit numbers with adjacent digits differing by 3 or less.at n=5A125321
- Partial sum of irregular primes A000928.at n=32A132360
- Prime numbers p such that 2*p+1, p*(p + 1) - 1 and p*(p + 1) + 1 are also primes.at n=11A136015
- Primes of the form 210n+71.at n=26A140856
- Numbers k such that (k,k+8) forms a pair of consecutive primes ending respectively in 1 and 9.at n=28A141026
- Primes congruent to 14 mod 37.at n=35A142123
- Primes congruent to 39 mod 41.at n=31A142236
- Primes congruent to 31 mod 43.at n=30A142280
- Primes congruent to 18 mod 47.at n=27A142369
- Primes congruent to 1 mod 49.at n=31A142414