3370
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6084
- Proper Divisor Sum (Aliquot Sum)
- 2714
- 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
- 1344
- Möbius Function
- -1
- Radical
- 3370
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 43
- Smith Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- A generalized Fibonacci sequence.at n=46A001584
- Number of partitions of floor(7n/2) into n nonnegative integers each no more than 7.at n=14A001979
- a(n) = n^3 - floor( n/3 ).at n=15A002901
- Numbers that are the sum of 4 positive 5th powers.at n=38A003349
- Coordination sequence T2 for Zeolite Code BRE.at n=38A008059
- Coordination sequence T4 for Zeolite Code BRE.at n=38A008061
- Number of partitions of n into parts >= 4.at n=51A008484
- Molien series for A_11.at n=29A008634
- Number of partitions of n into at most 11 parts.at n=29A008640
- Aliquot sequence starting at 180.at n=46A008891
- If a, b in sequence, so is ab+6.at n=35A009307
- Expansion of 1/((1-x)^2*Product_{k>=1} (1-x^k)).at n=16A014153
- Numbers k giving rise to prime quadruples (30k+11, 30k+13, 30k+17, 30k+19).at n=37A014561
- Expansion of 1/((1-3x)*(1-7x)*(1-10x)).at n=3A017999
- Numbers k such that the continued fraction for sqrt(k) has period 19.at n=23A020358
- Sum of distinct prime divisors of p(n)*p(n-1) + 1.at n=47A023529
- Number of partitions of n in which the least part is 4.at n=54A026797
- Coordination sequence T5 for Zeolite Code SFF.at n=38A038436
- Base-9 palindromes that start with 4.at n=16A043031
- Numbers n such that string 3,7 occurs in the base 10 representation of n but not of n-1.at n=37A044369