8030
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15984
- Proper Divisor Sum (Aliquot Sum)
- 7954
- 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
- 2880
- Möbius Function
- 1
- Radical
- 8030
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 44
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFS = ZSM-57 H1.5[Al1.5Si34.5O72] starting with a T6 atom.at n=12A019177
- a(n) = n*(n^2 + 12*n - 25)/6.at n=33A026057
- Numbers k such that k^2 is palindromic in base 3.at n=39A029984
- "CGK" (necklace, element, unlabeled) transform of 2,1,1,1,...at n=25A032157
- Second pentagonal numbers with odd index: a(n) = (2*n-1)*(3*n-1).at n=37A033568
- Positive numbers having the same set of digits in base 6 and base 9.at n=38A037436
- Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0.at n=4A037510
- a(n) = A033001(n)/4.at n=39A043307
- Number of primitive (aperiodic) step shifted (decimated) sequences using a maximum of five different symbols.at n=5A056384
- Numbers k such that 2*5^k + 3 is prime.at n=17A057914
- McKay-Thompson series of class 30F for Monster.at n=32A058617
- Sequence of sums based on primes = 7 mod 8.at n=21A060108
- Number of 4-gonal compositions of n into positive parts.at n=46A069982
- Sum of squares of digits of n is equal to the largest prime factor of n.at n=21A074302
- a(n) = -a(n-1) - a(n-2) + a(n-3) - a(n-5).at n=26A089134
- Arithmetic derivative of n-th partition number.at n=35A096371
- Triangle T(n,k), 0 <= k <= n, read by rows: given by [ 1, 0, 3, 0, 5, 0, 7, 0, 9, 0, ...] DELTA [ 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, ...] where DELTA is the operator defined in A084938.at n=31A102365
- a(n) = binomial(n,4) - binomial(floor(n/2),4) - binomial(ceiling(n/2),4).at n=23A111385
- Fourth column of second-order Eulerian triangle A008517 divided by 4.at n=3A112499
- Numbers n such that n is divisible by (3*s(n)*s(n)+2), where s(n) = sum of digits of n.at n=30A134556