1503
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 2184
- Proper Divisor Sum (Aliquot Sum)
- 681
- 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
- 996
- Möbius Function
- 0
- Radical
- 501
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 140
- 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
- no
- Odd
- yes
Appears in sequences
- A nonlinear binomial sum.at n=12A000128
- a(n) = floor(n*phi^8), where phi is the golden ratio, A001622.at n=32A004923
- a(n) = round(n*phi^8), where phi is the golden ratio, A001622.at n=32A004943
- Coordination sequence T5 for Zeolite Code MEL.at n=25A008154
- Coordination sequence T3 for Zeolite Code -WEN.at n=28A009864
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=37A011913
- Positive integers n such that 2^n (mod n) == 2^9 (mod n).at n=65A015931
- (s(n)+s(n+1))/18, where s()=A006521.at n=13A016060
- Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits.at n=8A020342
- a(n) = S(n) + c(n) where S(n) = [ (3/2)^n ] and c is the complement of S.at n=17A022808
- Convolution of A023532 and A001950.at n=37A023603
- Numbers with exactly 9 ones in binary expansion.at n=13A023691
- Index of 6^n within the sequence of the numbers of the form 5^i*6^j (A025622).at n=51A025715
- a(n) = sum of the numbers between the two n's in A026276.at n=35A026279
- T(2n-1,n-2), T given by A026714.at n=4A026719
- T(n, 2*n-3), T given by A027960.at n=18A027965
- Twin lucky numbers (upper terms).at n=46A031159
- Numbers whose base-9 representation has 2 more 0's than 8's.at n=39A031494
- Lucky numbers with size of gaps equal to 16 (lower terms).at n=3A031898
- Numbers with exactly five distinct base-6 digits.at n=23A031983