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Properties of the Number 10448

Ten Thousand Four Hundred Forty-Eight

Basics

Value: 10447 → 10448 → 10449

Parity: even

Prime: No

Previous Prime: 10433

Next Prime: 10453

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 4 × 653

Divisors: 1, 2, 4, 8, 16, 653, 1306, 2612, 5224, 10448

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10100011010000

Octal: 24320

Duodecimal: 6068

Hexadecimal: 28d0

Square: 109160704

Square Root: 102.2154587134451

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

Numbers k such that k512 + 1 is prime. A57465
a(n) = n*(2·n2 -3·n +7)/6 = C(n, 1) + C(n, 2) + 2·C(n, 3). A81489
T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array. A219802
Sum over all partitions of n of the number of distinct parts i of multiplicity i. A276428
23-gonal numbers: a(n) = n(21n-19)/2. A51875
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252321
Number of compositions of n with no part circularly followed by a divisor or a multiple. A328599
Lesser of two consecutive numbers each divisible by a fourth power. A68782
T(n,k)=Number of nXk 0..3 arrays with row sums equal and column sums equal. A202686
T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, and upper left element zero. A230805