8837
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8838
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8836
- Möbius Function
- -1
- Radical
- 8837
- 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
- 78
- 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
- 1101
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form k^2 + 1.at n=18A002496
- Number of partitions of at most n into at most 5 parts.at n=34A002622
- Numbers k such that 105*2^k+1 is prime.at n=36A032402
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a lucky number.at n=31A032701
- Numbers whose set of base-14 digits is {1,3}.at n=27A032921
- Number of partitions of n with equal number of parts congruent to each of 1 and 4 (mod 5).at n=45A035558
- Denominators of continued fraction convergents to sqrt(690).at n=7A042327
- Numerators of continued fraction convergents to sqrt(982).at n=5A042900
- Euclid-Mullin sequence (A000945) with initial value a(1)=65537 instead of a(1)=2.at n=10A051332
- Primes of form 4*p^2 + 1, p prime.at n=6A052292
- Totient(n) and cototient(n) are squares.at n=36A054754
- Odd powers of primes of the form q = x^2 + 1 (A002496).at n=27A054755
- Numbers whose divisors have the form m^k + 1, k>1.at n=20A054964
- Primes q of form q=10p+7, where p is also prime.at n=41A055783
- Primes p with the following property: let d_1, d_2, ... be the distinct digits occurring in the decimal expansion of p. Then for each d_i, dropping all the digits d_i from p produces a prime number. Leading 0's are not allowed.at n=41A057876
- Primes with 3 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of any one of its distinct digits.at n=31A057879
- Primes p such that x^47 = 2 has no solution mod p.at n=26A059257
- Lesser of irregular twin primes.at n=29A060012
- a(n) = 4*prime(n)^2+1.at n=14A060429
- Primes of form n^2 + mu(n), where mu is A008683.at n=7A062459