12409
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12410
- 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
- 12408
- Möbius Function
- -1
- Radical
- 12409
- 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
- 94
- 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
- 1481
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- arcsinh(sec(x)*arcsinh(x))=x+1/3!*x^3+13/5!*x^5-163/7!*x^7+12409/9!*x^9...at n=4A012828
- Primes that are palindromic in base 7.at n=38A029975
- Base-7 palindromes that start with 5.at n=24A043019
- Fourth term of strong prime quintets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=31A054811
- Primes p such that x^47 = 2 has no solution mod p.at n=33A059257
- Numbers k such that 84^k - 83^k is prime.at n=4A062650
- Lesser member p of cousin primes (p, p+4) such that (p+1, p+2, p+3) all have the same number of prime divisors (counted with multiplicity).at n=12A094230
- Numerators of terms in series expansion of arctan(arcsin(x)).at n=4A096719
- Smallest prime equal to the sum of exactly 2n+1 distinct odd primes in at least n ways.at n=36A100697
- Quotients A128356(n)/prime(n).at n=14A128357
- Quotients A128452(p+1)/p for prime p = A000040(n).at n=14A128456
- Primes p such that p, p+4 and p+12 are consecutive primes.at n=34A139385
- Primes of the form x^2 + 1320*y^2.at n=33A139666
- Primes of the form 76x^2+20xy+145y^2.at n=23A140629
- Primes of the form 210k + 19.at n=32A140843
- Primes congruent to 14 mod 37.at n=41A142123
- Primes congruent to 27 mod 41.at n=32A142224
- Primes congruent to 25 mod 43.at n=36A142274
- Primes congruent to 12 mod 49.at n=29A142424
- Primes congruent to 7 mod 53.at n=27A142537