10733
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10734
- 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
- 10732
- Möbius Function
- -1
- Radical
- 10733
- 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
- 73
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1309
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions into non-integral powers.at n=17A000339
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RON = Roggianite Ca16[Be8Al16Si32O104(OH)16].19H2O starting with a T2 atom.at n=13A019214
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=24A023297
- Number of partitions in parts not of the form 19k, 19k+1 or 19k-1. Also number of partitions with no part of size 1 and differences between parts at distance 8 are greater than 1.at n=43A035970
- n consecutive primes differ by 6 or more starting at a(n).at n=9A054693
- n consecutive primes differ by 6 or more starting at a(n).at n=10A054693
- 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=24A054824
- Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number).at n=27A055472
- Primes with 2 representations: p*q*r - 1 = u*v*w + 1 where p, q, r, u, v and w are primes.at n=31A063644
- Primes p such that both p-1 and p+1 have at most 3 prime factors, counted with multiplicity; i.e., primes p such that bigomega(p-1) <= 3 and bigomega(p+1) <= 3, where bigomega(n) = A001222(n).at n=37A079153
- Primes of the form 6*p - 1 such that p and 6*p - 5 are primes.at n=40A090609
- a(n) = A000040(A096480(n)).at n=22A096481
- Primes of the form 37n+3.at n=39A100203
- Indices of primes in sequence defined by A(0) = 51, A(n) = 10*A(n-1) + 61 for n > 0.at n=14A101584
- Numbers k such that 3*10^k + 7*R_k + 2 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=10A102977
- Primes of the form 8*x^2 + 165*y^2.at n=39A140002
- Primes of the form 210k + 23.at n=28A140844
- Primes congruent to 7 mod 31.at n=41A142011
- Primes congruent to 32 mod 41.at n=32A142229
- Primes congruent to 26 mod 43.at n=28A142275