2397
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3456
- Proper Divisor Sum (Aliquot Sum)
- 1059
- 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
- 1472
- Möbius Function
- -1
- Radical
- 2397
- 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
- 120
- 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
- no
- Odd
- yes
Appears in sequences
- Denominators of convergents to cube root of 4.at n=10A002355
- a(n) = floor(1000*log(n)).at n=10A004240
- Number of nodes in regular n-gon with all diagonals drawn.at n=16A007569
- Coordination sequence T2 for Zeolite Code MTW.at n=32A008197
- Coordination sequence T4 for Zeolite Code MTW.at n=32A008199
- Coordination sequence for Paracelsian.at n=33A008260
- "Pascal sweep" for k=9: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).at n=36A009540
- Number of intersection points of diagonals of an n-gon in general position, plus number of vertices.at n=17A014626
- a(n) = 7^n - n.at n=4A024076
- Sum of squares of the first n primes.at n=9A024450
- a(n) = n^2 - 4.at n=47A028347
- Quasi-Carmichael numbers to base -3: squarefree composites n such that for every prime p that divides n, p+3 divides n+3.at n=3A029563
- Numbers k such that 225*2^k+1 is prime.at n=32A032489
- Number of different products of partitions of n; number of partitions of n into prime parts (1 included); number of distinct orders of Abelian subgroups of symmetric group S_n.at n=39A034891
- Denominators of continued fraction convergents to sqrt(755).at n=4A042455
- a(n)=(s(n)+6)/9, where s(n)=n-th base 9 palindrome that starts with 3.at n=43A043074
- Numbers whose base-7 representation contains exactly three 6's.at n=21A043419
- Numbers k such that the string 5,3 occurs in the base 9 representation of k but not of k-1.at n=32A044299
- Numbers n such that string 9,7 occurs in the base 10 representation of n but not of n-1.at n=25A044429
- Numbers n such that string 5,3 occurs in the base 9 representation of n but not of n+1.at n=32A044680