12433
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12434
- 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
- 12432
- Möbius Function
- -1
- Radical
- 12433
- 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
- 112
- 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
- 1484
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form k^2 + k + 1.at n=35A002383
- Primes base 10 that remain primes in five bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=38A052029
- Primes which can be written as (b^k+1)/(b+1) for positive integers b and k.at n=42A059055
- Primes p such that x^37 = 2 has no solution mod p.at n=39A059223
- Primes with 13 as smallest positive primitive root.at n=31A061326
- Prime numbers generated by casting a number in its own base.at n=5A064508
- Primes of the form 4*k^2 - 10*k + 7 with k positive.at n=19A073337
- Class 6+ primes.at n=14A081634
- a(n) = 9*n^2 + 3*n + 1.at n=37A082040
- Numbers k such that k, sigma(k) and phi(k) have the same decimal digits (ignoring multiplicity).at n=17A082059
- Primes p such that p-1 is a product of two or more consecutive integers. Or (p-1) is a permutation of m items chosen from n, for some m and n. p-1 = k*(k+1)(k+2)...(k+r) for some k and r, r>0.at n=45A083520
- Primes of the form 1 + n + n^2 + n^3 + ... + n^k, n > 1, k > 1.at n=37A085104
- Number of partitions of n into Fibonacci number of integer parts.at n=43A102848
- Smallest of five consecutive primes whose sum of digits is prime.at n=31A106718
- Smallest of six consecutive primes whose sum of digits is prime.at n=12A106719
- Primes and their indices such that when their respective SOD's are both prime, the SOD of the index is the nextprime of the prime SOD.at n=18A117458
- {2n+1}_{2n+1}.at n=55A122643
- Primes of the form x^2 + 1848*y^2.at n=33A139668
- Primes of the form 57x^2+18xy+193y^2.at n=23A140631
- Primes of the form 210k + 43.at n=30A140849