9103
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 9104
- 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
- 9102
- Möbius Function
- -1
- Radical
- 9103
- 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
- 184
- 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
- 1129
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = ceiling((1 + sum of preceding terms) / 2) starting with a(0) = 1.at n=23A005428
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=15A020439
- Numbers with exactly 7 1's in their ternary expansion.at n=33A023698
- Palindromic primes in base 3.at n=19A029971
- Primes that are palindromic in base 7.at n=30A029975
- Primes with property that when squared all even digits occur together and all odd digits occur together.at n=45A030480
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 95.at n=7A031593
- Sums of 7 distinct powers of 3.at n=18A038469
- Denominators of continued fraction convergents to sqrt(535).at n=10A042023
- Primes with first digit 9.at n=26A045715
- Primes base 10 that remain primes in five bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=31A052029
- Primes from products of split even-digit primes.at n=45A053008
- Primes p with property that p concatenated with its emirp p' (prime reversal) forms a palindromic prime of the form 'primemirp' (rightmost digit of p and leftmost digit of p' are blended together - p and p' palindromic allowed).at n=42A054217
- Primes p such that x^37 = 2 has no solution mod p.at n=31A059223
- Primes p such that x^41 = 2 has no solution mod p.at n=26A059236
- Primes p such that p^10 reversed is also prime.at n=37A059703
- Primes p such that |p - q| is a square, where q is the reversal of p.at n=32A059798
- a(n) is the number of different degrees in the sequence of the degrees of the irreducible representations of the symmetric group S_n, i.e., count each degree only once.at n=36A060437
- a(n) = ceiling((Sum_{k=1..n-1} a(k)) / 2) for n >= 2 starting with a(1) = 1.at n=24A073941
- Non-palindromic primes which on subtracting their reversal give perfect squares.at n=13A080177