3203
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3204
- 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
- 3202
- Möbius Function
- -1
- Radical
- 3203
- 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
- 61
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 453
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T2 for Zeolite Code BRE.at n=37A008059
- Coordination sequence T1 for Zeolite Code ACO, ASV, EDI, and THO.at n=40A008084
- Smallest prime that begins with n.at n=31A018800
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=33A020381
- Smallest nonempty set S containing prime divisors of 7k+4 for each k in S.at n=11A020609
- Smallest nonempty set S containing prime divisors of 9k+8 for each k in S.at n=50A020630
- n-th prime p(k) such that p(k) + p(k+9) = p(k+3) + p(k+6).at n=39A022893
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=37A023247
- Primes that remain prime through 3 iterations of function f(x) = 3x + 4.at n=4A023278
- Primes that remain prime through 4 iterations of the function f(x) = 3x + 4.at n=0A023308
- n written in fractional base 7/3.at n=52A024640
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ n/k ] ].at n=29A024932
- Smallest nontrivial extension of n which is prime.at n=31A030665
- 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 55.at n=17A031553
- Upper prime of a difference of 12 between consecutive primes.at n=31A031931
- Duplicate of A008084.at n=40A033598
- Trajectory of 1 under map n->21n+1 if n odd, n->n/2 if n even.at n=10A033967
- Schoenheim bound L_1(n,n-4,n-5).at n=20A036830
- Trajectory of 3 under map n->21*n+1 if n odd, n->n/2 if n even.at n=17A037108
- Positive numbers having the same set of digits in base 4 and base 10.at n=33A037428