2493
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
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 3614
- Proper Divisor Sum (Aliquot Sum)
- 1121
- 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
- 1656
- Möbius Function
- 0
- Radical
- 831
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 133
- 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
- Numbers of the form (p^2 - 49)/120 where p is prime.at n=49A002382
- Number of 5th-order maximal independent sets in path graph.at n=44A007380
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=73A008302
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=81A008302
- Coordination sequence T3 for Zeolite Code -WEN.at n=36A009864
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=21A020381
- Numbers k such that Fib(k) == -34 (mod k).at n=19A023169
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = A014306.at n=28A024596
- Triangle T read by rows: differences of Motzkin triangle (A026300).at n=63A026105
- a(n) = Sum_{k=1..n} T(k, k-1), where T is the array in A026120.at n=8A026134
- Irregular triangular array T read by rows: T(0,0) = 1, T(0,1) = T(0,2) = 0; T(1,0) = T(1,1) = T(1,2) = 1, T(1,3) = 0; for n >= 2, T(n,0) = 1, T(n,1) = T(n-1,0) + T(n-1,1), T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 2,3,...,n+1 and T(n,n+2) = T(n-1,n) + T(n-1,n+1).at n=73A026323
- a(n) = T(2n,n), T given by A026769.at n=6A026770
- a(n) = T(n, floor(n/2)), T given by A026769.at n=12A026775
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 19 (most significant digit on left).at n=25A029488
- Lucky numbers with size of gaps equal to 12 (lower terms).at n=30A031894
- "BFK" (reversible, size, unlabeled) transform of 2,1,1,1...at n=21A032044
- Numbers k such that 35*2^k+1 is prime.at n=18A032367
- Numbers whose set of base-5 digits is {3,4}.at n=42A032829
- Number of chiral n-ominoes in n-2 space.at n=8A036365
- Denominators of continued fraction convergents to sqrt(299).at n=5A041563