1277
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1278
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1276
- Möbius Function
- -1
- Radical
- 1277
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 57
- 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
- 206
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Lesser of twin primes.at n=42A001359
- Squares written in base 9.at n=30A002442
- a(n) = floor(n*phi^7), where phi is the golden ratio, A001622.at n=44A004922
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=12A007353
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=11A007354
- Prime triples: p; p+2 or p+4; p+6 all prime.at n=32A007529
- Primes of form n^2 + n + 17.at n=28A007635
- Coordination sequence T8 for Zeolite Code EUO.at n=22A008103
- Coordination sequence T2 for Zeolite Code MEI.at n=26A008147
- Coordination sequence T4 for Zeolite Code NES.at n=23A008208
- If a, b are in the sequence, so is ab+3.at n=33A009302
- Coordination sequence T1 for Zeolite Code VNI.at n=22A009907
- Coordination sequence T1 for Zeolite Code ZON.at n=25A009919
- a(n) is prime and sum of all primes <= a(n) is prime.at n=25A013917
- a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) contained in the digits of a(n+1)^2, with a(0)=1.at n=13A014563
- Primes with primitive root 8.at n=46A019338
- Primes with primitive root 27.at n=51A019353
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=10A020360
- Smallest nonempty set S containing prime divisors of 10k+1 for each k in S.at n=35A020632
- Pisot sequence T(3,5).at n=15A020745