10882
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16326
- Proper Divisor Sum (Aliquot Sum)
- 5444
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5440
- Möbius Function
- 1
- Radical
- 10882
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=38A020419
- Cube of the lower triangular normalized partition matrix.at n=12A027517
- Third diagonal of A027517.at n=2A027524
- Third column of A027517.at n=2A027533
- Binomial transform of {1, primes}.at n=10A030015
- Maximal value of Sum_{i=1..n} (p(i) - p(i+1))^2, where p(n+1) = p(1), as p ranges over all permutations of {1, 2, ..., n}.at n=31A064842
- Base 4 expansion of 1/n has equal percentage of each digit 0,1,2,3.at n=15A074709
- Base 4 expansion of 1/n has equal percentage of each digit 0,1,2,3 (primitive values of n only).at n=13A074900
- A unitary phi reciprocal amicable number: consider two different numbers r, s which satisfy the following equation for some integer k: uphi(r) = uphi(s) = (1/k) * r * s / (r-s); or equivalently, 1/uphi(r) = 1/uphi(s) = k * (1/s - 1/r); sequence gives k numbers.at n=19A080768
- Table read by rows: T(n,k)= z (z') or product of z with its complex conjugate, with z=Sum[binomial[n,t] I^t, {t,0,k}].at n=50A092821
- Expansion of q / (chi(-q) * chi(-q^3) * chi(-q^5) * chi(-q^15)) in powers of q where chi() is a Ramanujan theta function.at n=40A123632
- A106486-encodings of combinatorial games with value -1.at n=30A125993
- Convolution square of A003106.at n=40A145468
- Number of nX3 binary arrays with each 1 adjacent to exactly two other 1s.at n=14A183324
- Number of (n+4) X 6 binary arrays with every 5 X 5 subblock commuting with each horizontal and vertical neighbor 5 X 5 subblock.at n=4A186602
- Number of (n+4)X9 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock.at n=1A186605
- T(n,k)=Number of (n+4)X(k+4) binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock.at n=16A186609
- T(n,k)=Number of (n+4)X(k+4) binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock.at n=19A186609
- Number of distinct normal magic stars of type {n/2}.at n=5A200720
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,-2,1.at n=16A222149