10133
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10134
- 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
- 10132
- Möbius Function
- -1
- Radical
- 10133
- 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
- 34
- 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
- 1243
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of n-bead bracelets (turnover necklaces) of two colors with 6 red beads and n-6 black beads.at n=24A005513
- Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6).at n=23A013983
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=18A020396
- Primes that remain prime through 3 iterations of function f(x) = 9x + 2.at n=27A023296
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 8.at n=16A031421
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 21.at n=14A051962
- Prime number spiral (clockwise, North spoke).at n=18A054551
- Coefficients of monic primitive irreducible polynomials over GF(5) listed in lexicographic order.at n=29A058950
- a(n) = (1/6)*n^5 - (19/8)*n^4 + (51/4)*n^3 - (253/8)*n^2 + (445/12)*n - 14.at n=11A059999
- Primes whose sum of digits is 8.at n=31A062343
- Primes associated with A066042.at n=33A066146
- Primes which are sandwiched between two numbers having the same unordered canonical form.at n=31A074460
- Smallest primes such that a(j) - a(k) are all different.at n=45A079848
- Let n range through the odd numbers skipping multiples of 5; a(n) = n-th prime ending in n.at n=13A089779
- Value of C in y = x^2+7x+C such that y is prime for all x = 0 to 4.at n=16A097436
- Upper prime of a difference of 22 between consecutive primes.at n=17A098976
- Partial sums of A107947.at n=46A107957
- Expansion of -x*(1+x-x^2+x^3+4*x^4) / ( (x^3-2*x^2-x+1)*(x^3+2*x^2-x-1) ).at n=16A120391
- Table read by rows: rows give successive prime sextets of form k, k+30, k+60, k+90, k+120, k+150.at n=43A123085
- Smallest odd prime base q such that p^3 divides q^(p-1) - 1, where p = prime(n).at n=9A125637