8037
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12480
- Proper Divisor Sum (Aliquot Sum)
- 4443
- 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
- 4968
- Möbius Function
- 0
- Radical
- 2679
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 26
- 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
- Odd heptagonal numbers (A000566).at n=28A014637
- Number of parts in all partitions of n into distinct parts.at n=42A015723
- a(n) = position of n^3 + 9 in A003072.at n=41A024971
- [ exp(7/15)*n! ].at n=6A030912
- a(n) = (2*n + 1)*(5*n + 1).at n=28A033571
- a(n) = A033001(n)/4.at n=40A043307
- Numbers having four 1's in base 6.at n=30A043376
- A Lucas Jacobsthal product.at n=8A094633
- Heptagonal numbers for which the sum of the digits is also a heptagonal number.at n=14A117650
- Numbers k such that the numerator of the Bernoulli number B(2k) ends with the digits 691.at n=30A132184
- a(n) = 196*n + 1.at n=40A158223
- Expansion of (1+13*x+32*x^2+13*x^3+x^4)/(1-x)^5.at n=7A160765
- Number of n X 2 0..2 arrays with values 0..2 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.at n=4A199649
- Number of nX5 0..2 arrays with values 0..2 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.at n=1A199652
- T(n,k) = Number of n X k 0..2 arrays with values 0..2 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.at n=16A199655
- T(n,k) = Number of n X k 0..2 arrays with values 0..2 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors.at n=19A199655
- Numbers k such that phi(k) equals the product of two numbers: sums of prime factors of k, with and without repetition.at n=2A237798
- Number of partitions of 4n into 4 parts.at n=25A238340
- Number of nX5 0..2 arrays with no element equal to exactly three horizontal or vertical neighbors, with new values 0..2 introduced in row major order.at n=1A241111
- T(n,k)=Number of nXk 0..2 arrays with no element equal to exactly three horizontal or vertical neighbors, with new values 0..2 introduced in row major order.at n=16A241114