8853
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12768
- Proper Divisor Sum (Aliquot Sum)
- 3915
- 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
- 5424
- Möbius Function
- -1
- Radical
- 8853
- 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
- 140
- 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
- no
- Odd
- yes
Appears in sequences
- Coefficients of the '2nd-order' mock theta function A(q).at n=34A006304
- 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 62.at n=31A031560
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 8.at n=39A051973
- Non-palindromic number and its reversal are both multiples of 13.at n=28A062912
- Numbers n such that A003313(n) = A003313(2n).at n=37A086878
- Numerators of "Farey fraction" approximations to Pi.at n=51A097545
- Rectangular table where column k equals row sums of matrix power A097712^k, read by antidiagonals.at n=30A125860
- Column 2 of table A125860; also equals row sums of matrix power A097712^2.at n=5A125862
- 3 times 11-gonal (or hendecagonal) numbers: a(n) = 3*n*(9*n-7)/2.at n=26A153783
- Number of n X n symmetric binary arrays with rows, considered as binary numbers, in nondecreasing order, and no more than 5 ones in any row.at n=5A162039
- Number of n X 4 1..2 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order.at n=18A166805
- Number of 0..9 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1.at n=3A171315
- Number of 0..n-1 integer arrays v[1..4] of length 4 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..3.at n=9A171355
- a(n) = Sum_{j=1..n} j*B(j-1), where B(k) = A000110(k) are the Bell numbers.at n=8A177255
- Number of (n+3)X5 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock.at n=2A186592
- Number of (n+3)X6 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock.at n=1A186593
- T(n,k) = Number of (n+3) X (k+3) 0..3 arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=7A186599
- T(n,k) = Number of (n+3) X (k+3) 0..3 arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=8A186599
- Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments.at n=12A208181
- Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments.at n=1A208182