10830
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27432
- Proper Divisor Sum (Aliquot Sum)
- 16602
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2736
- Möbius Function
- 0
- Radical
- 570
- 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
- 4-dimensional pyramidal numbers: a(n) = n^2*(n^2-1)/12.at n=19A002415
- a(n) = floor( n*(n-1)*(n-2)/22 ).at n=63A011904
- Number of ordered triples of integers from [ 2,n ] with no global factor.at n=41A015633
- Numbers k such that k!!! + 1 is prime (0 is included by convention).at n=32A037083
- Partial sums of A051865.at n=18A050441
- At stage 1, start with a unit equilateral equiangular triangle. At each successive stage add 3*(n-1) new triangles around outside with edge-to-edge contacts. Sequence gives number of triangles (regardless of size) at n-th stage.at n=28A064412
- Number of partitionings of n X n checkerboard into three edgewise-connected sets.at n=3A068417
- Group successively larger composite numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum of the terms in the n-th group.at n=37A074120
- An interleaved sequence of pyramidal and polygonal numbers.at n=36A081283
- Partial sums of n 3-spaced triangular numbers beginning with t(2), e.g., a(2) = t(2) + t(5) = 3 + 15 = 18.at n=18A085789
- a(n) is the smallest number k such that r*k + 1 is prime for all r = 1 to n.at n=4A088250
- a(n) = (2/(n-1))*a(n-1) + ((n+5)/(n-1))*a(n-2) with a(0)=0 and a(1)=1.at n=35A096338
- Structured triakis octahedral numbers (vertex structure 4).at n=14A100171
- A002415 and A052472 interlaced.at n=37A117651
- a(n) = (5^p - 3^p - 2^p)/p, where p = prime(n).at n=3A130075
- a(n) = (prime(n)^4 - prime(n)^2)/12.at n=7A138422
- The Wiener index of a chain of n squares joined at vertices (i.e., joined like <><><>...<>; here <> is a square!).at n=14A143943
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (1, 0, 1), (1, 1, 0)}.at n=8A150075
- Numbers k such that 120*k + 1 is a term in A163573.at n=38A163625
- Multiples of 19 whose digit reversal - 1 is also a multiple of 19.at n=24A166399