10978
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18000
- Proper Divisor Sum (Aliquot Sum)
- 7022
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4980
- Möbius Function
- -1
- Radical
- 10978
- Omega Function (Ω)
- 3
- 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
- 130
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 points on surface of truncated tetrahedron: a(n) = 14*n^2 + 2 for n > 0, a(0)=1.at n=28A005905
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among pairs.at n=31A015698
- a(0) = 0; for n>0, a(n) = maximal number of regions into which space can be divided by n spheres.at n=33A046127
- a(0) = 1; a(n) is obtained by incrementing each digit of a(n-1) by 3.at n=9A061515
- n*3^(n-1)+A081567(n).at n=7A081666
- Numbers in ascending order formed by using all the digits of the next n numbers.at n=13A081991
- Smallest natural number m such that n^n^n - m is a prime.at n=3A103112
- Smallest number that can be written in exactly n ways as a sum of distinct repdigits of its decimal digits.at n=22A131367
- Integers k such that 10^k + 63 is a prime number.at n=19A135115
- Triangle T, read by rows, where row n of T = row n-1 of T^fibonacci(n) with appended '1' for n>=1 starting with a single '1' in row 0.at n=21A136170
- Column 0 of triangle A136170.at n=5A136171
- a(n) = A027941(n) + A027941(n+6).at n=4A153466
- Linear recurrence with a(n) = 3a(n-1) - a(n-2) + 2 = 4a(n-1) - 4a(n-2) + a(n-3). Full sequence for A153466.at n=7A153819
- Number of planar n X n X n binary triangular grids with mirror symmetry about one altitude with no more than 1 one in any 2 X 2 X 2 subtriangle.at n=9A153897
- A(n,k) for n >= k in triangular ordering, where A(n,k) is the number of compositions (ordered partitions) of n into k parts, with the first part greater than or equal to all other parts.at n=63A156042
- Numbers n with property that n^3+n^2+{3,5} are twin primes.at n=34A168254
- Number of nX2 0..2 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=10A201189
- Number of days after Mar 01 00 such that the date written the format MMDDYY (American standard, short) is palindromic.at n=11A210894
- Numbers k such that sopfr(k) = tau(k)^3.at n=6A305349
- Number of 11-regular partitions of n (no part is a multiple of 11).at n=34A328545