Properties of the Number 45853

Forty-Five Thousand Eight Hundred Fifty-Three

Basics

Value: 45852 → 45853 → 45854

Parity: odd

Prime: Yes

Previous Prime: 45841

Next Prime: 45863

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 45853

Divisors: 1, 45853

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001100011101

Octal: 131435

Duodecimal: 22651

Hexadecimal: b31d

Square: 2102497609

Square Root: 214.13313615599057

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

Primes of the form 2·n² + 22·n + 9. A154601

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 353", based on the 5-celled von Neumann neighborhood. A287759

Primes of the form 2^j - 3^k, for j >= 0, k >= 0. A321671

Monotonic ordering of nonnegative differences 4ⁱ-3^j, for 40>=i>=0, j>=0. A192148

Denominators of continued fraction convergents to sqrt(751). A42447

Sixth term of weak prime sextet: p(m-4)-p(m-5) < p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1). A54833

Integer k associated with the record-breaking number A226663(n) of primitive Collatz-like 3x+k cycles. A226664

G.f.: ∏_m>0 (1 + x^m + 2·x^2·m + 3·x^3·m). A290269

Number of parts in all partitions of n with largest multiplicity ten. A320380

a(n) = n³ - 3*(n+3)². A153260