Properties of the Number 40755

Forty Thousand Seven Hundred Fifty-Five

Basics

Value: 40754 → 40755 → 40756

Parity: odd

Prime: No

Previous Prime: 40751

Next Prime: 40759

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 11 × 13 × 19

Divisors: 1, 3, 5, 11, 13, 15, 19, 33, 39, 55

Polygonal

Triangular: Yes

Square: No

Pentagonal: Yes

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111100110011

Octal: 117463

Duodecimal: 1B703

Hexadecimal: 9f33

Square: 1660970025

Square Root: 201.8786764371116

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 that are one-third of another triangular number: T(m) such that 3·T(m) = T(k) for some k. A76139

Triangular numbers that are the product of two triangular numbers greater than 1. A188630

Exponential convolution of Fibonacci numbers with themselves (divided by 2). A14335

Dimensions of the irreducible representations of the simple Lie algebra of type E7 over the complex numbers, listed in increasing order. A121736

Triangular numbers which are products of triangular numbers larger than 1. A68143

Indices of records in heights of cyclotomic polynomials (A160338). A160340

a(n) = ∑_i=1..n ∑_j=1..i (prime(i) - prime(j)). A62020

Odd numbers with exactly 5 distinct prime factors. A46391

Row 8 of array in A288580. A92973

Triangle T(n,k) read by rows of the smallest n-gonal number greater than 1 that is also k-gonal, or 0 if none exists, for 3 <= k <= n. A189216