10937
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10938
- 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
- 10936
- Möbius Function
- -1
- Radical
- 10937
- 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
- 161
- 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
- 1328
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 7 positive 7th powers.at n=30A003374
- a(0) = 1, a(n) = 15*n^2 + 2 for n>0.at n=27A010005
- Numbers k such that the continued fraction for sqrt(k) has period 59.at n=14A020398
- Sum_{T(i,j)}, 0<=j<=i, 0<=i<=n, where T is the array in A026386.at n=10A026396
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 18.at n=6A031606
- Numerators of continued fraction convergents to sqrt(638).at n=6A042224
- Lesser of twin primes whose average is 6 times a prime.at n=28A060213
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=22A060261
- Numbers k such that 94^k - 93^k is prime.at n=4A062660
- Primes which, although they have correct parity, are not in the prime number maze.at n=15A065123
- Numbers k such that sigma(k+2) - sigma(k) = prime(k+1) - prime(k).at n=31A067062
- Prime(n) and prime(n+4) use the same digits.at n=13A069796
- Five-digit distinct-digit primes.at n=34A074671
- a(1) = 1 and then the smallest primes such that all a(k)-a(j) are distinct composite numbers.at n=45A079850
- n+A001045(n+1).at n=14A081660
- Primes arising in A086498: a(n) = (2n)-th partial sum of A086498.at n=34A086499
- Least prime that begins a run of exactly 2n-1 primes between two consecutive prime-indexed primes.at n=16A088988
- Let n range through the odd numbers skipping multiples of 5; a(n) = n-th prime ending in n.at n=14A089779
- a(n) is the smallest integer m such that A039995(m)=n.at n=17A094535
- Primes p such that p + 2 and p^2 + 2^2 are primes.at n=24A107312