Properties of the Number 26100

Twenty-Six Thousand One Hundred

Basics

Value: 26099 → 26100 → 26101

Parity: even

Prime: No

Previous Prime: 26099

Next Prime: 26107

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 ² × 29

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110010111110100

Octal: 62764

Duodecimal: 13130

Hexadecimal: 65f4

Square: 681210000

Square Root: 161.55494421403512

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) = n³ - n². A45991

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of triangular numbers. The p-th row (p>=1) contains a(i,p) for i=1 to 2·p-1, where a(i,p) satisfies ∑_i=1..n C(i+1,2)^p = 3·C(n+2,3) * ∑_i=1..2·p-1 a(i,p) * C(n-1,i-1)/(i+2). A87127

Exponential abundant numbers: integers k for which A126164(k) > k, or equivalently for which A051377(k) > 2k. A129575

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=9. A135194

Number of times a multiple of four is encountered when iterating from 2ⁿ⁺¹-2 to (2ⁿ)-2 with the map x -> x - (number of runs in binary representation of x). A255125

Exponential unitary abundant numbers: numbers k such that A322857(k) > 2·k. A383693

Numbers that have exactly three exponents in their prime factorization that are equal to 2. A386798

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, northeast or northwest neighbor modulo n and the upper left element equal to 0. A266886

a(n) = 29·n². A244635

Sum of next n composite numbers. A72475