9780
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27552
- Proper Divisor Sum (Aliquot Sum)
- 17772
- 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
- 2592
- Möbius Function
- 0
- Radical
- 4890
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 42
- 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
- Sum of squares of first n positive integers congruent to 1 mod 3.at n=14A024215
- McKay-Thompson series of class 13A for the Monster group with a(0) = -2.at n=13A034318
- McKay-Thompson series of class 13A for the Monster group with a(0) = 0.at n=13A034319
- Number of partitions satisfying cn(2,5) <= cn(0,5) + cn(3,5) and cn(2,5) <= cn(0,5) + cn(4,5) and cn(3,5) <= cn(0,5) + cn(1,5) and cn(3,5) <= cn(0,5) + cn(4,5).at n=38A039875
- T(n,n+1), array T as in A047140.at n=8A047146
- Number of step cyclic shifted sequence structures using a maximum of three different symbols.at n=13A056430
- Sums of rows of the triangle in A108396.at n=5A108397
- 3*Volume of the root-n Waterman polyhedron of void-center type as defined in A119870.at n=44A119878
- Number of n X n arrays of squares of integers summing to 15 with every element equal to at least one neighbor.at n=2A146500
- Partial sums of floor(n^2/3) (A000212).at n=44A181286
- Numbers k such that there are 15 primes between 100*k and 100*k + 99.at n=19A186407
- Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (10,n)-rectangular grid with k '1's and (10n-k) '0's: two patterns are in the same class if one of them can be obtained by a reflection or 180-degree rotation of the other.at n=18A228169
- Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (10,n)-rectangular grid with k '1's and (10n-k) '0's: two patterns are in the same class if one of them can be obtained by a reflection or 180-degree rotation of the other.at n=26A228169
- The number of binary pattern classes in the (2,n)-rectangular grid with 6 '1's and (2n-6) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other.at n=10A228581
- Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=4A235180
- Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=1A235183
- T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=16A235186
- T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=19A235186
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^45 is prime.at n=38A244387
- Numbers k such that 12*k+1, 24*k+1, 36*k+1 and 72*k+1 are all prime.at n=36A255218