10433
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10434
- 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
- 10432
- Möbius Function
- -1
- Radical
- 10433
- 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
- 148
- 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
- 1277
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 45.at n=25A020384
- Lower prime of a difference of 20 between consecutive primes.at n=16A031938
- Least prime in A031938 (lesser of primes differing by 20) whose distance to the next 20-twin is 6*n.at n=35A052359
- Let prime(i) = i-th prime, let twin(n) = (P,Q) be n-th pair of twin primes; sequence gives prime(P).at n=42A057470
- Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p.at n=21A059287
- Primes p such that x^48 = 2 has no solution mod p, but x^24 = 2 has a solution mod p.at n=16A059669
- Primes p such that x^8 = 2 has a solution mod p, but x^(8^2) = 2 has no solution mod p.at n=26A070184
- Number of ways to partition the sum of all divisors of n (sigma(n), A000203) into distinct positive integers not greater than n.at n=37A079125
- Primes whose decimal representation is a valid number in base 5 and interpreted as such is again a prime.at n=21A090708
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=24A095651
- Primes of the form 128n+65.at n=22A105129
- Primes with maximal digit = 4.at n=38A106098
- Smallest prime of the set of four consecutive primes whose sum of digits is a set of four distinct primes.at n=23A106817
- Primes p such that little googol - p is prime.at n=24A108256
- Primes p such that index of p, the sum of p's digits and the number of p's digits are all primes.at n=21A109982
- Primes of the form p^2 + q^10 where p and q are primes.at n=7A122716
- Primes p such that |100-p|, |1000-p|, |10000-p| and |100000-p| are also primes.at n=14A126021
- Primes p of Erdos-Selfridge class 4+ with largest prime factor of p+1 not of class 3+.at n=7A129472
- Primes of the form x^2+101y^2.at n=40A139489
- Primes of the form 5x^2+273y^2.at n=38A140016