Properties of the Number 27495

Twenty-Seven Thousand Four Hundred Ninety-Five

Basics

Value: 27494 → 27495 → 27496

Parity: odd

Prime: No

Previous Prime: 27487

Next Prime: 27509

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 13 × 47

Divisors: 1, 3, 5, 9, 13, 15, 39, 45, 47, 65

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101101100111

Octal: 65547

Duodecimal: 13AB3

Hexadecimal: 6b67

Square: 755975025

Square Root: 165.81616326522575

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

Triangular numbers which have one or more occurrences of exactly five different digits. A241788

a(n) = 3·n*(6·n + 1). A144314

a(n) is the maximal determinant of an n X n symmetric Toeplitz matrix having 0 on the main diagonal and all the integers 1, 2, ..., n-1 off-diagonal. A374280

a(n) is the maximal absolute value of the determinant of an n X n symmetric Toeplitz matrix having 0 on the main diagonal and all the integers 1, 2, ..., n-1 off-diagonal. A374281

Triangular matrix T, read by rows, that satisfies: T² + 2·T = SHIFTUP(T), also Tⁿ⁺¹ + 2·Tⁿ = SHIFTUP(Tⁿ - D·T^n-1) for all n, where D is a diagonal matrix with diagonal(D) = diagonal(T) = {1,2,3,...}. A103236

a(n) = 49*(n*(n+1)/2) + 6. A61792

Triangular numbers equal to the difference between a prime number and its index. A115887

a(n) = ∑_i=0..n ∑_j=0..n T(i,j), T given by A026725. A26734

Triangular numbers for which the sum of the digits is a cube. A117803

a(n) = m*(m+1)/2, where m = floor(n^3/2). A185541