Properties of the Number 10678

Ten Thousand Six Hundred Seventy-Eight

Basics

Value: 10677 → 10678 → 10679

Parity: even

Prime: No

Previous Prime: 10667

Next Prime: 10687

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 19 × 281

Divisors: 1, 2, 19, 38, 281, 562, 5339, 10678

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110110110

Octal: 24666

Duodecimal: 621A

Hexadecimal: 29b6

Square: 114019684

Square Root: 103.33440859655606

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Magic numbers: atoms with full shells containing any of these numbers of electrons are considered electronically stable. A18227

Expansion of ∏_m>=1 (1-m·q^m). A22661

Total number of positive integers below 10ⁿ requiring 3 positive cubes in their representation as sum of cubes. A181377

Triangle read by rows, coefficients of the generalized Eulerian polynomials A_{n, 3}(x) in descending order. A225117

a(n) = 9·n² - 10·n + 3. A154262

a(n) = (1/24)*(n + 3)*(3·n³ + 5·n² - 6·n + 16). A290061

Number of partitions of n into parts with at most one 1 and at most one 2. A121081

Row sums of the triangular array A357431. A357417

Numbers n such that |real(ζ(1/2 + n·I))| exceeds all previous values, where ζ is the Riemann ζ function. A79630

Number of n X n arrays of squares of integers with every (n-1)X(n-1) subblock summing to 7 and every element equal to at least one neighbor. A146202