Properties of the Number 37285

Thirty-Seven Thousand Two Hundred Eighty-Five

Basics

Value: 37284 → 37285 → 37286

Parity: odd

Prime: No

Previous Prime: 37277

Next Prime: 37307

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 7457

Divisors: 1, 5, 7457, 37285

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000110100101

Octal: 110645

Duodecimal: 196B1

Hexadecimal: 91a5

Square: 1390171225

Square Root: 193.0932417253385

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

Number of integer partitions of n whose multiplicities cover an initial interval of positive integers. A317081

(1/8) * number of ways to select 3 distinct points forming a triangle of unsigned area = 1 from a square of grid points with side length n. A320544

G.f.: ∑_n>=0 (1 + xⁿ)ⁿ * xⁿ / (1-x)ⁿ⁺¹. A243988

Number of partitions p of n such that the number of distinct parts is a part or max(p) - min(p) is a part. A241391

Row 3 of square array defined in A047671. A47672

Number of nX5 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281712

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281715

Table read by antidiagonals: T(n,k) (n >= 3, k >= 0) is the number of cells in a regular n-gon after k generations of mitosis. A350000

Replace n with concatenation of its nontrivial odd divisors. A37285