2538
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 3222
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 828
- Möbius Function
- 0
- Radical
- 282
- Omega Function (Ω)
- 5
- 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
- 40
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Denominators of approximations to e.at n=22A006259
- Number of factors in the infinite word formed by the Kolakoski sequence A000002.at n=51A007782
- Coordination sequence T1 for Zeolite Code GME and AFX.at n=38A008110
- Coordination sequence T9 for Zeolite Code MFI.at n=32A008172
- Coordination sequence T2 for Keatite.at n=28A009845
- Expansion of g.f. 1/((1 - 2*x)*(1 - 7*x)*(1 - 9*x)).at n=3A016312
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite STI = Stilbite Na4Ca8[Al20Si52O144].56H2O starting with a T2 atom.at n=11A019240
- a(n) = n*(7*n - 1)/2.at n=27A022264
- Sum of distinct prime divisors of prime(n)*prime(n-1) - 1.at n=47A023521
- Number of 4's in all partitions of n.at n=27A024788
- When squared gives number composed of digits {1,4,6}.at n=14A027677
- a(n) = n*(n+7).at n=47A028563
- Numbers with exactly five distinct base-7 digits.at n=7A031984
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/10) starts with n.at n=19A034075
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+7 or 16k-7.at n=41A036023
- Numbers m such that m^2 ends in 444.at n=10A039685
- Numbers whose square contains the same digit more than 2/3 of the time and does not end in 0.at n=5A039820
- Numerators of continued fraction convergents to sqrt(315).at n=5A041594
- Numbers k such that the string 3,0 occurs in the base 9 representation of k but not of k-1.at n=35A044278
- Numbers k such that the string 4,3 occurs in the base 9 representation of k but not of k-1.at n=34A044290