3631
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3632
- 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
- 3630
- Möbius Function
- -1
- Radical
- 3631
- 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
- 100
- 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
- 508
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=25A001136
- Primes of form 2n^2 - 2n + 19.at n=33A007639
- Numbers k such that the continued fraction for sqrt(k) has period 96.at n=2A020435
- Primes that remain prime through 2 iterations of function f(x) = 7x + 6.at n=43A023259
- 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 59.at n=14A031557
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=10A031810
- Numbers whose set of base-15 digits is {1,2}.at n=16A032935
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=27A033548
- Numbers whose base-5 representation contains exactly two 0's and three 1's.at n=39A045168
- Primes for which golden mean is a cubic residue.at n=39A047652
- Numerators of coefficients in Taylor series for exp(sin(x)).at n=19A047687
- Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes.at n=28A047948
- Primes whose consecutive digits differ by 2 or 3.at n=29A048414
- a(n) = 4*n^2 - 7*n + 4.at n=30A054567
- Primes p such that x^3 = 2 has more than one solution mod p and the sum of the (three) solutions is 2*p.at n=35A059914
- a(n) = 6*n^2 + 6*n + 31.at n=24A060834
- Primes of the form 6*k^2 + 6*k + 31.at n=24A060844
- Numbers k such that k^2 has property that the sum of its digits and the product of its digits are nonzero squares.at n=38A061268
- Primes with 15 as smallest positive primitive root.at n=1A061328
- Largest prime which can be written as a sum of distinct primes <= prime(n).at n=42A066028