Properties of the Number 20435

Twenty Thousand Four Hundred Thirty-Five

Basics

Value: 20434 → 20435 → 20436

Parity: odd

Prime: No

Previous Prime: 20431

Next Prime: 20441

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 61 × 67

Divisors: 1, 5, 61, 67, 305, 335, 4087, 20435

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111111010011

Octal: 47723

Duodecimal: B9AB

Hexadecimal: 4fd3

Square: 417589225

Square Root: 142.95104056983985

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) = ∑_k=0..n (-1)^k * binomial(n, k) * q(k), where q(k) is A000009 (partitions into distinct parts). A293467

Numbers n such that φ(n-1) + φ(n+1) = φ(2n). A67701

First term of the n-th differences of the strict partition numbers. Inverse zero-based binomial transform of A000009. A380412

Number of (n+1)X(n+1) -5..5 symmetric matrices with every 2X2 subblock having sum zero and one, two or three distinct values. A211333

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 0, -1), (0, 1, -1), (1, 0, 0)}. A148337

Determinant of the pentadiagonal symmetric nXn Toeplitz Matrix with a=3, b=c=1. A360263

Numbers k such that the continued fraction for sqrt(k) has period 96. A20435

Table read by antidiagonals: T(b,n) is the number of n-step self avoiding walks on a 2D square grid confined inside an infinite well of width 2b where the walk starts at the middle of the well bottom. A336863