12041
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
- 12042
- 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
- 12040
- Möbius Function
- -1
- Radical
- 12041
- 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
- 187
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1442
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = 10000*log_10(n) rounded down.at n=15A004228
- a(n) = 10000*log_10(n) rounded to the nearest integer.at n=15A004229
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=35A023299
- Primes p such that x^43 = 2 has no solution mod p.at n=33A059243
- Numbers k such that k, sigma(k) and phi(k) have the same decimal digits (ignoring multiplicity).at n=11A082059
- a(n) = 10*n^2 - 6*n + 1.at n=34A087348
- Smallest member of a pair of consecutive twin prime pairs that have one prime between them.at n=41A089629
- Primes of the form [prime(n)*prime(n+1)+p]/2 with increasing p.at n=33A100558
- Primes p = prime(k) such that both p+2 and prime(k+4)-2 are prime numbers.at n=42A105411
- Coefficients of the B-Rogers mod 14 identity.at n=39A105781
- Primes with maximal digit = 4.at n=43A106098
- Primes such that the sum of the predecessor and successor primes is divisible by 43.at n=33A113158
- Cyclops primes.at n=26A134809
- Primes of the form 210n+71.at n=30A140856
- Primes congruent to 16 mod 37.at n=37A142125
- Primes congruent to 28 mod 41.at n=34A142225
- Primes congruent to 1 mod 43.at n=34A142250
- Primes congruent to 9 mod 47.at n=27A142360
- Primes congruent to 36 mod 49.at n=34A142444
- Primes congruent to 5 mod 51.at n=39A142479