3682
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6336
- Proper Divisor Sum (Aliquot Sum)
- 2654
- 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
- 1572
- Möbius Function
- -1
- Radical
- 3682
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = C(n,1) + C(n,2) + C(n,3), or n*(n^2 + 5)/6.at n=28A004006
- Coordination sequence T3 for Zeolite Code MEP.at n=36A008159
- Coordination sequence T5 for Zeolite Code RSN.at n=39A009889
- E.g.f.: sech(exp(x)-cos(x)).at n=7A013321
- Coordination sequence T2 for Zeolite Code CGF.at n=42A019452
- Place where n-th 1 occurs in A023125.at n=31A022787
- T(2n,n-1), T given by A026568.at n=6A026575
- Expansion of 1/((1-3x)(1-4x)(1-6x)(1-9x)).at n=3A028034
- Decimal part of a(n)^(1/n) starts with a 'nine digits' anagram.at n=44A035136
- Number of partitions of n with equal number of parts congruent to each of 0 and 4 (mod 5).at n=34A035555
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+1 or 24k-1. Also number of partitions in which no odd part is repeated, with no part of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=52A036029
- Can express a(n) with the digits of a(n)^2 in order, only adding plus signs.at n=37A038206
- Coordination sequence T7 for Zeolite Code SFF.at n=40A038431
- Convolution of Catalan numbers {1,2,5,14,...} with A002802 (5-fold convoluted central binomial coefficients).at n=4A038836
- a(n)=(s(n)+1)/8, where s(n)=n-th base 8 palindrome that starts with 7.at n=30A043071
- a(n)=(s(n)+4)/9, where s(n)=n-th base 9 palindrome that starts with 5.at n=24A043076
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n-1 <= 2^(p+1), with a(1) = 1, a(2) = 3, and a(3) = 1.at n=12A049964
- Numbers n such that 167*2^n-1 is prime.at n=20A050835
- Generalized Stirling number triangle of first kind.at n=42A051379
- Triangle T(n,k) giving coefficients in expansion of n!*binomial(x-n,n) in powers of x.at n=38A054655