12277
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12278
- 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
- 12276
- Möbius Function
- -1
- Radical
- 12277
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1468
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = ceiling(n*phi^15), where phi is the golden ratio, A001622.at n=9A004970
- Numbers k such that the continued fraction for sqrt(k) has period 97.at n=2A020436
- a(n) = [ 2nd elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n.at n=36A025193
- a(1) = a(2) = 1, a(n) is largest prime factor of concatenation of a(n - 2) and a(n - 1).at n=8A034969
- Column 1 of triangle A052308.at n=17A052309
- First term of weak prime quintets: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=27A054823
- Primes whose SOD and that of their indices are both prime and equal (indices may not be prime, but their SOD must be prime).at n=39A117477
- Absolute differences of A129198.at n=24A129199
- Primes p such that p, p+4 and p+12 are consecutive primes.at n=33A139385
- Binomial transform of [1, 12, 12, 12, ...].at n=10A139697
- Primes of the form 2*3*5*7*k + 97.at n=29A141899
- Primes congruent to 30 mod 37.at n=40A142139
- Primes congruent to 18 mod 41.at n=35A142215
- Primes congruent to 22 mod 43.at n=32A142271
- Primes congruent to 10 mod 47.at n=33A142361
- Primes congruent to 27 mod 49.at n=33A142437
- Primes congruent to 37 mod 51.at n=42A142498
- Primes congruent to 34 mod 53.at n=29A142564
- Primes congruent to 12 mod 55.at n=37A142609
- Primes congruent to 5 mod 59.at n=26A142732