10957
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10958
- 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
- 10956
- Möbius Function
- -1
- Radical
- 10957
- 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
- 42
- 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
- 1331
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Erroneous version of A027610.at n=9A007172
- Lower prime of a pair of consecutive primes having a difference of 16.at n=36A031934
- Number of days in n years (n=4 is the first leap year).at n=29A033171
- Number of days in n years (n=3 is the first leap year).at n=29A033172
- Numerators of continued fraction convergents to sqrt(609).at n=7A042168
- a(0)=1, a(n) = prime(n^3).at n=11A055875
- Numbers k such that k^6 == 1 (mod 7^4).at n=27A056092
- 11^n-th prime.at n=3A058244
- Numbers k such that 19^k - 18^k is prime.at n=3A062585
- Primes of form Sum_{k=1..n} (prime(k)+1).at n=29A062736
- Five-digit distinct-digit primes.at n=35A074671
- a(n) = Sum_{k=1..n} antisigma(k), where antisigma(i) = sum of the nondivisors of i that are between 1 and i.at n=40A076664
- Prime(p^3) where p = prime(n).at n=4A096328
- Smallest prime equal to the sum of exactly 2n+1 distinct odd primes in at least n ways.at n=34A100697
- Numbers n such that n, n+1 and n+2 are 1,2,3-almost primes.at n=38A112998
- Triangle T, read by rows, equal to the matrix square of triangle A113350, where T transforms column k of T into column k+1 of T.at n=15A113355
- Column 0 of triangle A113355, which is the matrix square of A113350.at n=5A113356
- Primes which are the sum of a twin prime pair + 1.at n=34A118071
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n having k DD's (0 <= k <= n-1 for n >= 1).at n=51A128738
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k DUUU's starting at level 1.at n=19A135331