8278
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12420
- Proper Divisor Sum (Aliquot Sum)
- 4142
- 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
- 4138
- Möbius Function
- 1
- Radical
- 8278
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 158
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 n X 3 binary matrices under row and column permutations and column complementations.at n=17A006381
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 90.at n=12A031588
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 62 ones.at n=6A031830
- "DGK" (bracelet, element, unlabeled) transform of 1,2,3,4,...at n=15A032233
- Numerators of continued fraction convergents to sqrt(331).at n=5A041624
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 83 ).at n=29A063356
- Numbers beginning and ending with their multiplicative digital root.at n=44A064704
- Expansion of ((1-2x)*sqrt(1+2x) + sqrt(1-2x))/(2*(1-2x)^(5/2)).at n=10A099326
- Number of 4 X n 0-1 matrices avoiding simultaneously the right angled numbered polyomino patterns (ranpp) (00;1), (01;0), (10;0) and (01;1).at n=13A100316
- Numbers k such that A145768(k) is a square.at n=31A145827
- Partial sums of A002503.at n=37A176358
- Number of n-bead necklaces labeled with numbers 1..6 not allowing reversal, with no adjacent beads differing by more than 1.at n=10A208775
- A213784/12.at n=18A213789
- Number of partitions p of n such that round(mean(p)) is not a part of p; here, round(x) means floor(x + 1/2).at n=36A241734
- Number of length n+4 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.at n=31A255995
- Numbers n such that the decimal expansions of both n and n^2 have 2 as smallest digit and 8 as largest digit.at n=24A257368
- Number of 3-generalized 2-Motzkin paths of length n with no level steps H=(3,0) at even level.at n=17A257517
- Maximum starting value of X such that repeated replacement of X with X-ceiling(X/5) requires n steps to reach 0.at n=36A279075
- Expansion of Product_{k>=1} (1 - x^(6*k)) * (1 + x^k) / (1 - x^k).at n=21A280874
- Numbers k such that A(k+1) = A(k) + 3, where A() = A005100() are the deficient numbers.at n=3A317046