10837
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10838
- 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
- 10836
- Möbius Function
- -1
- Radical
- 10837
- 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
- 55
- 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
- 1317
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6*k*(k-1) + 1.at n=42A003154
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 58 ones.at n=16A031826
- Number of partitions in parts not of the form 15k, 15k+1 or 15k-1. Also number of partitions with no part of size 1 and differences between parts at distance 6 are greater than 1.at n=44A035955
- Primes p such that (p+1)/2 and (p+2)/3 are also primes.at n=26A036570
- Numerators of continued fraction convergents to sqrt(431).at n=6A041820
- Numbers whose base-2 representation has exactly 13 runs.at n=3A043580
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=34A045108
- Primes p such that x^43 = 2 has no solution mod p.at n=30A059243
- Numbers prime(k) such that A068863(k) = prime(k).at n=23A068868
- a(n)=A074639(A074647(n)).at n=37A074648
- Five-digit distinct-digit primes.at n=29A074671
- Primes in A003154.at n=23A083577
- Duplicate of A068868.at n=23A085136
- Primes connected to two primes by the (p+1)/2 and 2p-1 operators.at n=28A109835
- Primes which are the sum of a twin prime pair + 1.at n=33A118071
- Primes of the form 256 k + 85.at n=11A127593
- a(n) = Sum_{k=floor((n+1)/2)..n} J(k+1), J(k) = A001045(k).at n=13A129362
- Prime numbers p such that p^3 - p + 1 and p^3 + p - 1 are both primes.at n=20A137463
- Primes of the form 28x^2+28xy+37y^2.at n=40A139996
- Primes of the form 37x^2+4xy+37y^2.at n=37A140027