10357
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10358
- 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
- 10356
- Möbius Function
- -1
- Radical
- 10357
- 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
- 1271
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of SiC polytypes that repeat after 2n layers.at n=29A011959
- Primes that remain prime through 3 iterations of function f(x) = 2x + 5.at n=31A023274
- a(n) = (d(n)-r(n))/2, where d = A026063 and r is the periodic sequence with fundamental period (1,1,0,1).at n=39A026064
- Primes that are palindromic in base 7.at n=33A029975
- Numbers k such that the decimal part of k^(1/7) starts with a 'nine digits' anagram.at n=5A034282
- Number of partitions of n in which no parts are multiples of 5.at n=37A035959
- Base-7 palindromes that start with 4.at n=31A043018
- Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=23A054827
- Primes of the form 2^i*3^j - (i+j) with i, j >= 0.at n=15A069356
- Primes of the form ceiling(n^e).at n=6A074224
- Five-digit distinct-digit primes.at n=7A074671
- a(1) = 1, a(2n) = smallest prime > (2n-1)-th partial sum of the sequence itself and a(2n+1) = smallest composite number > 2n-th partial sum of the sequence.at n=13A076636
- a(1) = 2 then primes in nondecreasing order such that every concatenation is prime.at n=32A089702
- Number of fibevil primes (A095084) in range ]2^n,2^(n+1)].at n=17A095064
- Smallest prime of the form (prime(n)*prime(n+1)+q)/2 for some integer n and some prime q.at n=32A100557
- Maximal value of sum(p(i)p(i+1),i=1..n), where p(n+1)=p(1), as p ranges over all permutations of {1,2,...,n}.at n=30A110610
- Numbers n such that n, n+1 and n+2 are 1,2,3-almost primes.at n=37A112998
- Values of c in a^2 + b^2 = c^2, where b - a = 17 and gcd(a,b,c)=1.at n=7A117472
- Where records occur in A082467.at n=29A129302
- Primes of the form 28x^2+28xy+37y^2.at n=38A139996