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Properties of the Number 71825

Seventy-One Thousand Eight Hundred Twenty-Five

Basics

Value: 71824 → 71825 → 71826

Parity: odd

Prime: No

Previous Prime: 71821

Next Prime: 71837

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 2 × 13 2 × 17

Divisors: 1, 5, 13, 17, 25, 65, 85, 169, 221, 325

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100010010001

Octal: 214221

Duodecimal: 35695

Hexadecimal: 11891

Square: 5158830625

Square Root: 268.00186566514793

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 that are the hypotenuse of exactly 37 distinct integer-sided right triangles, i.e., k2 can be written as a sum of two squares in 37 ways. A97245
Least positive integer that is the sum of two squares of positive integers in exactly n ways. A16032
Squared radii of the circles around (0,0) that contain record numbers of lattice points. A71383
Least number which is the sum of two distinct nonzero squares in exactly n ways. A93195
Smallest k such that circle x2 + y2 = k passes through exactly 4n integer points. A18782
Numbers of the form q1b1 * q2b2 * q3b3 * q4b4 * q5b5 * ... where q1=5, q2=13, q3=17, q4=29, q5=37, ... (A002144) and b1 >= b2 >= b3 >= b4 >= b5 >= .... A54994
Triangle read by rows: T(n,k) is the number of permutations of [n] having k strong fixed blocks (see first comment for definition). A186373
Smallest number that is the sum of two positive squares in >= n ways. A48610
Smallest number that is the sum of 2 squares (allowing zeros) in exactly n ways. A446
Numbers that are expressible as the sum of 2 distinct positive squares in more ways than any smaller number. A52199