10333
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10334
- 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
- 10332
- Möbius Function
- -1
- Radical
- 10333
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1268
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- A generalized partition function.at n=21A002598
- Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6*k*(k-1) + 1.at n=41A003154
- Reflectable emirps.at n=16A007628
- Powers of fourth root of 7 rounded to nearest integer.at n=19A018064
- Powers of fourth root of 7 rounded up.at n=19A018065
- Primes that are palindromic in base 9.at n=23A029977
- Graham-Sloane-type lower bound on the size of a ternary (n,3,6) constant-weight code.at n=9A030506
- 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 7.at n=31A031420
- Primes which are not the sum of consecutive composite numbers.at n=34A037174
- Numbers having three 3's in base 10.at n=36A043503
- Row/column pre-periods of Sprague-Grundy values of Wythoff's Game.at n=40A046874
- Second term of weak prime quintets: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2).at n=23A054824
- Coefficients of monic primitive irreducible polynomials over GF(4) listed in lexicographic order.at n=25A058952
- Primes p such that x^41 = 2 has no solution mod p.at n=32A059236
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 3 (most significant digit on right, least significant zeros not written).at n=9A061932
- Generating function: 1/((1-x)*(1-x^2)^2*(1-x^3)^3*(1-x^4)^4).at n=22A064349
- a(1)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals 3n.at n=44A070899
- Emirps which when concatenated with their reversals after a 0 make a palindromic prime of the form emirp0prime.at n=42A070954
- a(n) = A077727(n)/n.at n=29A077728
- Balanced primes of order two.at n=46A082077