8980
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18900
- Proper Divisor Sum (Aliquot Sum)
- 9920
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3584
- Möbius Function
- 0
- Radical
- 4490
- 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
- 47
- 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
- Number of n-step self-avoiding walks on b.c.c. lattice (version 1).at n=5A002903
- Number of 4-line partitions of n decreasing across rows.at n=22A003292
- Number of lines through exactly 4 points of an n X n grid of points.at n=33A018811
- Numbers in which 0,1,2,3,4,5 all occur in base 6.at n=20A031947
- Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's.at n=20A049357
- Values of m, the main key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.at n=32A051891
- Numbers k such that k | sigma_7(k).at n=39A055711
- Numbers k such that the first k binary digits of Pi expressed in decimal forms a prime.at n=9A065987
- Difference between larger and smaller terms of n-th amicable pair.at n=12A066539
- Expansion of 1 / Product_{n>=0} (1 - q^(5n+1))*(1 - q^(5n+3))*(1 - q^(5n+4)).at n=50A107236
- Numbers n such that every digit of both n and n^2 contains a loop (only digits 0,4,6,8,9 in n and n^2).at n=14A107626
- a(n) = 8*n^2 + 8*n + 4.at n=33A108099
- One third of the sum of the first n primes, when an integer.at n=32A112270
- Number of base 8 circular n-digit numbers with adjacent digits differing by 2 or less.at n=6A124843
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+449)^2 = y^2.at n=6A130004
- Numbers k such that k and k^2 use only the digits 0, 4, 6, 8 and 9.at n=15A136956
- a(n) + a(n+1) + a(n+2) = n^3.at n=31A152728
- a(n) = 1000*n - 20.at n=8A157515
- Number of 6-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions.at n=10A187511
- Second 13-gonal numbers: a(n) = n*(11*n+9)/2.at n=40A211013