Properties of the Number 46377

Forty-Six Thousand Three Hundred Seventy-Seven

Basics

Value: 46376 → 46377 → 46378

Parity: odd

Prime: No

Previous Prime: 46351

Next Prime: 46381

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5153

Divisors: 1, 3, 9, 5153, 15459, 46377

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010100101001

Octal: 132451

Duodecimal: 22A09

Hexadecimal: b529

Square: 2150826129

Square Root: 215.35319825811735

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) = 1 + (6 + (11 + (6 + n)*n)*n)*n/24. A145126

G.f.: ∑_{n >= 1} xⁿ/(1-xⁿ)⁵. A73570

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock equal. A236746

Number of partitions of n into deficient numbers. A97797

Number of lattice paths from (0,0) to (n,0) that do not go below the x-axis and consist of steps U=(1,1), D=(1,-1) and H=(1,0), where H-steps are only allowed if y=1. A224747

Number of equivalence classes of ballot paths of length n for the string ddu. A274112

a(n) = ∑_d∣n (-1)^n/d-1 * binomial(d+3,4). A366814

Number of partitions of the n-th deficient number into deficient numbers. A97799

Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n and having k valleys. A101282

a(n) = ∑_{k=0..floor(2·n/5)} (k+1) * binomial(k,2·n-5·k). A392268