8025
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13392
- Proper Divisor Sum (Aliquot Sum)
- 5367
- 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
- 4240
- Möbius Function
- 0
- Radical
- 1605
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 44
- 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
- no
- Odd
- yes
Appears in sequences
- Number of ordered triples of integers from [ 2,n ] with no global factor.at n=37A015633
- Expansion of 1/((1-4x)(1-7x)(1-8x)(1-10x)).at n=3A028146
- Decimal part of a(n)^(1/3) starts with reversal of its integer part: first term of runs.at n=18A034309
- Numbers whose base-6 representation has exactly 6 runs.at n=23A043614
- a(n) = Xpower(n,3).at n=25A048732
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A049735.at n=25A049737
- Numbers m such that there are precisely 3 groups of order m.at n=36A055561
- Partial sums of first m composite numbers arising in A053781.at n=6A073262
- Number of ways to write n as an ordered sum of 1's, 2's and 3's such that no 2 precedes any 1.at n=22A124062
- Unchanging value maps: number of n X 2 binary arrays indicating the locations of corresponding elements unequal to no horizontal, antidiagonal or vertical neighbor in a random 0..1 n X 2 array.at n=10A219150
- Integers n such that 2n^2+1, 2n^3+1 and 2n^4+1 are prime.at n=15A239920
- Integers n such that 2n^2+1, 2n^3+1, 2n^4+1 and 2n^5+1 are prime.at n=2A239925
- First differences of A065094 and also arithmetic means of initial terms of A065094.at n=48A241772
- Indices of primes in the 8th-order Fibonacci number sequence, A123526.at n=27A254412
- Minimum sum of a nonnegative integer triple that takes n moves to reach a 0 component, where a move picks two components, subtracts the smaller from the larger, and doubles the smaller.at n=17A256001
- Expansion of Product_{k>=0} 1/(1 - x^(3*k+1))^2.at n=36A261616
- Numbers n such that the decimal number concat(3,n) is a square.at n=29A273358
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 803", based on the 5-celled von Neumann neighborhood.at n=45A273577
- Indices m of "late birds", i.e., values a(m) < a(k) for all k > m, in A075771 = quotient + remainder in Euclidean division of n^2 by prime(n).at n=27A277853
- Number of sets of exactly four positive integers <= n having a square element sum.at n=41A281864