10903
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10904
- 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
- 10902
- Möbius Function
- -1
- Radical
- 10903
- 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
- yes
- 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
- 1326
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes.at n=23A000127
- Primes that remain prime through 4 iterations of function f(x) = 6x + 5.at n=17A023317
- Primes that are palindromic in base 7.at n=34A029975
- Number of partitions of n with equal nonzero number of parts congruent to each of 2 and 3 (mod 5).at n=45A035569
- n plus a googol is prime.at n=31A049014
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=17A052233
- Prime lucky numbers k (from A031157) such that nextprime(k)=nextlucky(k).at n=19A057698
- Sums of groups in A075635.at n=25A075636
- Least integer such that e^n/(ceiling(e^n) + a(n)) monotonically decreases.at n=9A084787
- Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002.at n=3A086003
- Number of partitions of n such that the number of different parts is odd.at n=36A090794
- Happy-go-Lucky primes: primes arising in A091431.at n=41A091432
- Primes in A051022.at n=28A092908
- Interpolate 0's between each pair of digits of n-th prime.at n=43A092909
- Primes of the form 100*n + 3.at n=33A101780
- Primes p such that p + googol is prime.at n=6A108250
- Numbers k such that abs(RSA-2048 - 10^k) is prime, where RSA-2048 is the 617 decimal digit number A391940(54).at n=10A113932
- Prime numbers obtained by inserting a 0 between each pair of adjacent digits of a prime number > 10.at n=21A119680
- Prime sums of 4 positive 5th powers.at n=14A123033
- Primes p such that their cubes are pandigital.at n=4A124629