3831
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
- 4
- Divisor Sum
- 5112
- Proper Divisor Sum (Aliquot Sum)
- 1281
- 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
- 2552
- Möbius Function
- 1
- Radical
- 3831
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 175
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- a(n) = 3 + n/2 + 7*n^2/2.at n=33A006124
- Shifts 2 places left when convolved with itself.at n=14A007477
- Sum of the first n primes.at n=44A007504
- Expansion of e.g.f. cos(tan(sin(x))), even terms only.at n=5A009066
- If a, b in sequence, so is ab+5.at n=43A009304
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 19.at n=28A031517
- Numbers k such that 101*2^k+1 is prime.at n=22A032400
- Initial number for record sum of numbers in trajectory of 3x+1 problem.at n=25A033495
- Sums of 10 distinct powers of 2.at n=34A038461
- Numerators of continued fraction convergents to sqrt(96).at n=6A041172
- Numbers whose base-4 representation contains exactly one 1 and four 3's.at n=34A045118
- Numbers whose base-4 representation contains exactly one 2 and four 3's.at n=33A045142
- a(n) = a(n-2) + a(n-3), with a(0) = 3, a(1) = 2, a(2) = 6.at n=26A046877
- Positions in decimal expansion of Pi where next prime begins.at n=15A053013
- Composite numbers arising as sum of first k primes.at n=37A053790
- Position of first occurrence of 2^n in A057923.at n=18A057925
- Position at which 2^n occurs in A057926, or -1 if it does not occur.at n=19A057928
- Coefficients in the series (1 + 2x^2 + 3x^3 + 5x^5 + 7x^7 + 11x^11 + 13x^13 + ... )/(1 - x - 4x^4 - 6x^6 - 8x^8 - 9x^9 - 10x^10 - 12x^12 - 14x^14 - ... ).at n=13A058356
- Intrinsic 12-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=27A060949
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 53 ).at n=33A063326