Properties of the Number 83436

Eighty-Three Thousand Four Hundred Thirty-Six

Basics

Value: 83435 → 83436 → 83437

Parity: even

Prime: No

Previous Prime: 83431

Next Prime: 83437

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 17 × 409

Divisors: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100010111101100

Octal: 242754

Duodecimal: 40350

Hexadecimal: 145ec

Square: 6961566096

Square Root: 288.85290374167954

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

Numbers k such that the symmetric representation of σ(k) has only two parts and they meet at the center of the Dyck path. A262259

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237234

Triangle read by rows, arising in enumeration of permutations by cyclic valleys, cycles and fixed points. A216964

"DFJ" (bracelet, size, labeled) transform of 2,1,1,1... A32210

a(1) = 0, then smallest triangular number such that a(n+1)- a(n) is a palindrome. A75057

Number of (n+1)X(4+1) 0..2 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237230

Triangle read by rows, related to Bell numbers A000110: A216962 interlaced with A216964. A217204

Number of (n+1) X (n+1) 0..2 arrays with the maximum plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. A237226

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300350

Smallest palindrome which is 1 more than the product of n consecutive numbers. A83436