3741
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5280
- Proper Divisor Sum (Aliquot Sum)
- 1539
- 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
- 2352
- Möbius Function
- -1
- Radical
- 3741
- 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
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Divisors of 2^28 - 1.at n=23A003536
- Juxtapose pairs of primes (starting at 1).at n=6A007794
- Number of homeomorphically irreducible (or series-reduced) trees with n pendant nodes, or continua with n non-cut points, or leaves.at n=13A007827
- Coordination sequence T3 for Zeolite Code VET.at n=37A009904
- a(n) = floor( n*(n-1)*(n-2)/26 ).at n=47A011908
- Second hexagonal numbers: a(n) = n*(2*n + 1).at n=43A014105
- Odd triangular numbers.at n=43A014493
- Binomial coefficients C(n,85).at n=2A017749
- Binomial coefficients C(87,n).at n=2A017803
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18).at n=66A017894
- Nearest integer to Gamma(n + 8/9)/Gamma(8/9).at n=7A020019
- Integer part of Gamma(n+8/9)/Gamma(8/9).at n=7A020064
- Expansion of Product_{m>=1} (1 + m*q^m).at n=17A022629
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/(2*n)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=22A024845
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 4.at n=43A031428
- Concatenation of n and n + 4 or {n,n+4}.at n=36A032609
- a(n) = (2*n-1)*(4*n-1).at n=22A033567
- Triangular numbers that have some nontrivial permutation of digits which is also triangular.at n=18A034291
- Decimal part of a(n)^(1/2) starts with reversal of its integer part: first term of runs.at n=45A034308
- Concatenate the n-th and (n+1)st prime.at n=11A045533