Properties of the Number 10407

Ten Thousand Four Hundred Seven

Basics

Value: 10406 → 10407 → 10408

Parity: odd

Prime: No

Previous Prime: 10399

Next Prime: 10427

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 3469

Divisors: 1, 3, 3469, 10407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010100111

Octal: 24247

Duodecimal: 6033

Hexadecimal: 28a7

Square: 108305649

Square Root: 102.01470482239313

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

a(n) = (11·n² - 11·n + 2)/2. A69125

a(n) = a(n-1) + the number of primes <= a(n-1). A61535

Discriminants of quintic fields with 2 complex conjugates (negated). A23684

Integers of the form 4n+3 for which ∑_i=1..u J(i,4n+3) obtains value zero exactly 9 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol. A166059

Number of n-node rooted trees in which eight equals the maximal number of nodes in paths starting at a leaf and ending at the first branching node or at the root. A318904

Number of partitions of n with up to two distinct kinds of 1. A320689

The sequence T_3,1(n,3). A372076

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 68. A31746

Number of isomorphism classes of linking pairings on finite Abelian 2-groups of fixed order 2ⁿ. A122555

a(n) = ceiling((n+1/n)⁴). A197903