3539
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3540
- 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
- 3538
- Möbius Function
- -1
- Radical
- 3539
- 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
- 56
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 495
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = n*a(n-1) + (n-3)*a(n-2), with a(1) = 0, a(2) = 1.at n=6A000261
- Wagstaff numbers: numbers k such that (2^k + 1)/3 is prime.at n=22A000978
- Primes of the form k^2 - k - 1.at n=33A002327
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=15A004112
- Denominators of approximations to e.at n=23A006259
- Numbers n such that n! has a square number of digits.at n=45A006488
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=25A007700
- Coordination sequence T1 for Zeolite Code ATV.at n=38A008043
- Number of partitions of n into at most 7 parts.at n=35A008636
- Coordination sequence for MgZn2, Mg position.at n=15A009939
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=14A020397
- Primes that remain prime through 3 iterations of the function f(x) = 2*x + 1.at n=9A023272
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=26A024814
- Number of partitions of n in which the greatest part is 7.at n=42A026813
- a(n) = Lucas(n+4) - 2*(n+3).at n=13A027181
- 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=5A031557
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=25A031796
- Concatenation of n and n + 4 or {n,n+4}.at n=34A032609
- Primes that are concatenations of k with k + 4.at n=4A032627
- Primes of form x^2+71*y^2.at n=31A033246