Properties of the Number 10478

Ten Thousand Four Hundred Seventy-Eight

Basics

Value: 10477 → 10478 → 10479

Parity: even

Prime: No

Previous Prime: 10477

Next Prime: 10487

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 13 ² × 31

Divisors: 1, 2, 13, 26, 31, 62, 169, 338, 403, 806

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10100011101110

Octal: 24356

Duodecimal: 6092

Hexadecimal: 28ee

Square: 109788484

Square Root: 102.36210236215355

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

Number of integer partitions of n whose multiplicities cover an initial interval of positive integers. A317081

Numbers that are not a power of a prime but whose prime indices satisfy (mean) = (median) = (mode), assuming there is a unique mode. A363729

Consider the trajectory of n under the iteration of a map which sends·to 3x - σ(x) if this is >= 0; otherwise the iteration stops. The sequence gives values of n which eventually reach 0. A37159

Sums of groups in A075643. A75645

Maximum number of ways in which a set of integer-sided rectangular pieces can tile an n X 2 rectangle, up to rotations and reflections. A361224

Bessel function |Y₀(n)| is a monotonically decreasing positive sequence. A46963

Number of partitions of n such that the number of parts and the smallest part are not coprime. A201025

Partitions with parts repeated at most twice and repetition only allowed if first part has an odd index (first index = 1). A227134

For any number n > 0, let f(n) be the polynomial of a single indeterminate·where the coefficient of x^e is the prime(1+e)-adic valuation of n (where prime(k) denotes the k-th prime); f establishes a bijection between the positive numbers and the polynomials of a single indeterminate·with nonnegative integer coefficients; let g be the inverse of f; a(n) = g(f(n)²). A297473

Indices where the cumulative sum of cos(2k+1)^2k+1 reaches a record low value. A389560