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Properties of the Number 33740

Thirty-Three Thousand Seven Hundred Forty

Basics

Value: 33739 → 33740 → 33741

Parity: even

Prime: No

Previous Prime: 33739

Next Prime: 33749

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 2 × 5 × 7 × 241

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000001111001100

Octal: 101714

Duodecimal: 17638

Hexadecimal: 83cc

Square: 1138387600

Square Root: 183.6845121397011

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

Coefficient triangle for polynomials used for e.g.f.s for unsigned Stirling1 diagonals. A112486
T(n,k)=Number of nXk 0..2 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other. A201432
Third column of triangle A112486 used for e.g.f.s of |Stirling1| = |A008275| diagonals. A112488
Number of nX4 0..2 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other. A201428
a(n) = 2*(A056855(n)) /(φ(n)*n), where φ() is the Euler φ function. A99940
Number of n X n 0..2 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other. A201425
Smallest number m >= 0 such that n with m threes appended yields a prime or -1 if no such m exists. A90584
a(n) = smallest number m > 0 such that n followed by m 3's yields a prime, or -1 if no such m exists. A372262
Expansion of ∏d | 28 theta3(qd). A33740
Number of (n+2)X4 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly two different ways, and new values 0..1 introduced in row major order. A204861