3345
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5376
- Proper Divisor Sum (Aliquot Sum)
- 2031
- 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
- 1776
- Möbius Function
- -1
- Radical
- 3345
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 136
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- McKay-Thompson series of class 5A for the Monster group.at n=4A007251
- Expansion of e.g.f. log(1+x)/exp(sinh(x)).at n=7A009437
- arctan(sin(arctanh(x)))=x-1/3!*x^3+9/5!*x^5-225/7!*x^7+3345/9!*x^9...at n=4A012054
- Expansion of e.g.f. theta_3^(-5/2).at n=4A015683
- Turns at which card 1 surfaces in Guy's shuffling problem (A035485).at n=7A035499
- Number of partitions of n into parts not of the form 15k, 15k+2 or 15k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 6 are greater than 1.at n=33A035956
- Binary reversal of 3^n.at n=7A036215
- Denominators of continued fraction convergents to sqrt(221).at n=7A041413
- Denominators of continued fraction convergents to sqrt(884).at n=9A042709
- Numbers n such that string 4,5 occurs in the base 10 representation of n but not of n-1.at n=36A044377
- Numbers n such that string 4,5 occurs in the base 10 representation of n but not of n+1.at n=36A044758
- McKay-Thompson series of class 5A for Monster.at n=4A045482
- Sum of numbers in range 10*n to 10*n+9.at n=33A053743
- Coordination sequence T6 for Zeolite Code SFE.at n=38A057322
- Positive numbers whose product of digits is 12 times their sum.at n=24A062045
- Binary representation of base-(i-1) expansion of n: replace i-1 with 2 in base-(i-1) expansion of n.at n=45A066321
- Trisection of A007294.at n=27A073471
- Interprimes which are of the form s*prime, s=15.at n=18A075290
- A Chebyshev S-sequence with Diophantine property.at n=3A078364
- Numbers n such that p = n^2 + 2, p+2 and p+6 are consecutive primes.at n=13A086380