12377
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12378
- 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
- 12376
- Möbius Function
- -1
- Radical
- 12377
- 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
- 63
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1477
- 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 77.at n=16A020416
- Least prime in A001359 (lesser of twin primes) such that the distance (A053319) to the next twin is 6*n.at n=26A052350
- Lesser of twin primes whose average is 6 times a prime.at n=30A060213
- Primes on axis of Ulam square spiral (with rows ... / 7 8 9 / 6 1 2 / 5 4 3 / ... ) with origin at (1).at n=48A078784
- Primes p such that (3*p)^2 + p^2 + 3^2 and (3*p)^2 - p^2 - 3^2 are both prime.at n=33A079796
- Primes arising in A086498: a(n) = (2n)-th partial sum of A086498.at n=36A086499
- Numbers k such that pi(k).pi(k-1) ... pi(3).pi(2) is prime (dot between numbers means concatenation).at n=6A099078
- Square root of a(n) contains the n-th prime as a string of digits to the immediate right of the decimal point (excluding leading zeros).at n=53A099400
- a(1)=1. a(n) = a(n-1) + sum of the squares which are among the first (n-1) terms of the sequence.at n=44A101135
- Primes p such that p + 2 and p^2 + 2^2 are primes.at n=26A107312
- Primes p such that little googol - p is prime.at n=29A108256
- Lesser of a twin-prime pair where both are expressible as the sum of two triangular numbers.at n=25A118638
- Smallest number that can be written in exactly n ways as a sum of distinct repdigits of its decimal digits.at n=19A131367
- a(n) = 2*a(n-1) + 4*a(n-2) - 6*a(n-3) - 3*a(n-4) for n > 3, with a(0)=1, a(1)=2, a(2)=4, a(3)=8.at n=12A137255
- Primes of the form 2*p(k)+3*p(k+1)+4*p(k+2) for some k, where p(k)=A000040(k).at n=39A138665
- Primes congruent to 19 mod 37.at n=42A142128
- Primes congruent to 36 mod 41.at n=35A142233
- Primes congruent to 36 mod 43.at n=37A142285
- Primes congruent to 16 mod 47.at n=31A142367
- Primes congruent to 29 mod 49.at n=36A142438