4996
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8750
- Proper Divisor Sum (Aliquot Sum)
- 3754
- 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
- 2496
- Möbius Function
- 0
- Radical
- 2498
- 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
- 178
- 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
- Pisot sequence E(8,14), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].at n=11A014002
- Pseudoprimes to base 93.at n=35A020221
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=5A020433
- a(n) = ( Product {k = 1..n} 3*k - 1 ) * ( Sum {k = 1..n} (-1)^(k+1)/(3*k - 1) ).at n=4A024396
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=23A024847
- a(n) = Sum_{k=0..2*n} (k+1)*T(n,k), T given by A027960.at n=7A027981
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=11A031812
- Denominators of continued fraction convergents to sqrt(707).at n=8A042361
- Numbers whose base-5 representation contains exactly two 1's and three 4's.at n=29A045258
- Interprimes which are of the form s*prime, s=4.at n=20A075279
- Number of configurations of the 5 X 2 variant of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners.at n=19A090036
- Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n and having k peaks at odd height.at n=39A101894
- 3-almost primes with semiprime digits (digits 4, 6, 9 only).at n=14A111494
- Number of self-avoiding walks of n steps on a Manhattan square lattice.at n=14A117633
- Concatenation of first two digits and last two digits of n-th even perfect number.at n=2A138875
- Triangle T(n,k) = 2*T(n-1, k-1) + 2*T(n-1, k), read by rows.at n=52A142595
- Triangle T(n,k) = 2*T(n-1, k-1) + 2*T(n-1, k), read by rows.at n=47A142595
- Riordan array [sec(x), log(sec(x) + tan(x))].at n=38A147309
- Riordan array [1,log(sec(x)+tan(x))].at n=48A147312
- The number of trisubstitution products with composition C_n H_(2n-1) X_2 Y.at n=13A159940