3677
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3678
- 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
- 3676
- Möbius Function
- -1
- Radical
- 3677
- 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
- 131
- 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
- 514
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=32A001994
- Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).at n=35A005918
- Primes of form n^2 + n + 17.at n=42A007635
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=15A020370
- Number of partitions of 4^n-1 into n-th powers.at n=8A027600
- Primes of the form k^2 + (k+1)^2 + (k+2)^2 = 3*(k+1)^2+2.at n=6A027864
- Lower prime of a pair of consecutive primes having a difference of 14.at n=19A031932
- Primes of form x^2+77*y^2.at n=24A033249
- Coordination sequence T3 for Zeolite Code CFI.at n=40A033601
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 5).at n=42A035562
- Numbers n such that string 7,7 occurs in the base 10 representation of n but not of n-1.at n=36A044409
- Numbers n such that string 7,7 occurs in the base 10 representation of n but not of n+1.at n=36A044790
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 11.at n=14A050960
- Least prime in A031932 (lesser of 14-twins) whose distance to the next 14-twin is 6*n.at n=14A052356
- Primes q of form q=10p+7, where p is also prime.at n=18A055783
- Primes with 2 representations: p*q*r - 1 = u*v*w + 1 where p, q, r, u, v and w are primes.at n=16A063644
- Primes > 1000 in which every substring of length 3 is also prime.at n=23A069489
- a(n) = A000040(A072578(n)).at n=41A072581
- a(1) = 1, a(n) = prime equal to n-th partial sum of A073852.at n=5A073854
- a(1) = 2; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=35A074338