3623
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3624
- 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
- 3622
- Möbius Function
- -1
- Radical
- 3623
- 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
- 118
- 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
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 507
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=27A000353
- Primes p == 3, 9, 11 (mod 20) such that 2p+1 is also prime.at n=45A000355
- Coordination sequence T2 for Zeolite Code PAU.at n=44A008220
- Coordination sequence T7 for Zeolite Code PAU.at n=44A008225
- Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8).at n=20A013985
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=26A020379
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=27A023253
- Primes that remain prime through 2 iterations of function f(x) = 9x + 2.at n=45A023265
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 8 (most significant digit on left).at n=14A029477
- 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=13A031557
- Numbers k such that 179*2^k+1 is prime.at n=20A032466
- Numbers k such that 195*2^k+1 is prime.at n=25A032474
- Primes of form x^2+71*y^2.at n=32A033246
- Number of partitions of n into parts 3k or 3k+2.at n=48A035361
- Recursive prime generating sequence.at n=34A039726
- Bends in loxodromic sequence of spheres in which each 5 consecutive spheres are in mutual contact.at n=14A045626
- Integers n such that A047988(n)=3.at n=16A047986
- Primes expressible in two ways as the sum of an integer and its digit sum.at n=47A048528
- Revert transform of 2*x*(1-x-x^3+x^4+x^6)-x/(1+x).at n=7A049184
- a(n)=a(n-1)+a(n-2)-d, where d=a(n/2) if n is even, else d=0; 2 initial terms.at n=21A050192