3733
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3734
- 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
- 3732
- Möbius Function
- -1
- Radical
- 3733
- 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
- 87
- 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
- 521
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=32A006562
- Coordination sequence T3 for Zeolite Code BRE.at n=40A008060
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=39A019546
- Numbers k such that the continued fraction for sqrt(k) has period 71.at n=0A020410
- Primes that contain digits 3 and 7 only.at n=9A020463
- Smallest nonempty set S containing prime divisors of 7k+6 for each k in S.at n=50A020611
- Primes that remain prime through 2 iterations of function f(x) = 8x + 3.at n=35A023261
- Prefix primes in base 8 (written in base 8).at n=36A024768
- Right-truncatable primes: every prefix is prime.at n=34A024770
- Smallest nontrivial extension of n-th palindromic prime which is a prime.at n=12A030680
- Primes of form x^2+41*y^2.at n=26A033228
- Primes of form x^2+77*y^2.at n=25A033249
- Primes of form x^2+89*y^2.at n=19A033257
- Primes which are not the sum of consecutive composite numbers.at n=24A037174
- Coordination sequence T6 for Zeolite Code SFF.at n=40A038432
- Denominators of continued fraction convergents to sqrt(253).at n=9A041475
- Numbers having three 3's in base 10.at n=27A043503
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n-1.at n=37A044365
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n+1.at n=37A044746
- Twin A045954's (middle terms) that are primes.at n=48A045961