2008
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3780
- Proper Divisor Sum (Aliquot Sum)
- 1772
- 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
- 1000
- Möbius Function
- 0
- Radical
- 502
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 68
- 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
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=21A001239
- Number of 4 X 4 matrices with nonnegative integer entries and row and column sums equal to n.at n=3A001496
- Number of stochastic matrices of integers: n X n arrays of nonnegative integers with all row and column sums equal to 3.at n=4A001500
- Coordination sequence occurring in Zeolite Codes AFG, CAN, LIO, LOS.at n=31A008013
- Coordination sequence T5 for Zeolite Code BOG.at n=32A008053
- Coordination sequence T2 for Zeolite Code YUG.at n=29A008248
- Numbers that are the sum of 3 positive cubes in more than one way.at n=13A008917
- Coordination sequence T4 for Zeolite Code iRON.at n=32A009884
- Numbers k such that phi(k) + 9 | sigma(k + 9).at n=23A015788
- Numbers k such that phi(k) + 10 | sigma(k + 10).at n=43A015789
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VNI = VPI-9 Rb44K4[Zn24Si96O240].48H2O starting with a T4 atom.at n=11A019257
- Coordination sequence T4 for Zeolite Code SAO.at n=35A019574
- Fibonacci sequence beginning 1, 8.at n=13A022098
- Numbers that are the sum of 3 positive cubes in exactly 2 ways.at n=13A025396
- Number of partitions of n that do not contain 5 as a part.at n=27A027339
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 11.at n=20A031509
- Every run of digits of n in base 7 has length 2.at n=35A033005
- Fractional part of square root of a(n) starts with 8: first term of runs.at n=42A034114
- Shifts left under transform T where Ta is (identity) DCONV a.at n=24A038046
- Smallest positive number that needs more lines when shown on a 7-segment display (digital clock) than any previous term.at n=19A038619