Properties of the Number 55410

Fifty-Five Thousand Four Hundred Ten

Basics

Value: 55409 → 55410 → 55411

Parity: even

Prime: No

Previous Prime: 55399

Next Prime: 55411

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 1847

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 1847, 3694

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100001110010

Octal: 154162

Duodecimal: 28096

Hexadecimal: d872

Square: 3070268100

Square Root: 235.39328792469848

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

Main diagonal of rectangular table A121426. A121427

Number of subpartitions of partition P=[0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,...] (A052146). A121431

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,17. A64245

Number of n X 6 0..1 arrays with rows and columns lexicographically nondecreasing read forwards, and nonincreasing read backwards. A201373

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (1, 0, -1), (1, 0, 0), (1, 1, 1)}. A150783

Number of points in Z⁴ of norm <= n. A55410

Square array, read by antidiagonals, where T(n,k) = T(n,k-1) + T(n-1,k+n+1) for n>0, k>0, such that T(n,0) = T(n-1,n+1) for n>0 with T(0,k)=1 for k>=0. A136737

T(n,k)=Number of nXk 0..1 arrays with rows and columns lexicographically nondecreasing read forwards, and nonincreasing read backwards. A201375

Rectangular table, read by antidiagonals, where row n is equal to column 1 of matrix power A121412ⁿ⁺¹ for n>=0. A121426