Properties of the Number 5416

Five Thousand Four Hundred Sixteen

Basics

Value: 5415 → 5416 → 5417

Parity: even

Prime: No

Previous Prime: 5413

Next Prime: 5417

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 677

Divisors: 1, 2, 4, 8, 677, 1354, 2708, 5416

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010100101000

Octal: 12450

Duodecimal: 3174

Hexadecimal: 1528

Square: 29333056

Square Root: 73.59347797189639

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 T₀ integer partitions of n. A319564

T(n,k)=Number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of trunc(x(i)/x(i+1)) equal to zero. A189545

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252305

Numbers n such that p(3n) is prime, where p(n) is the number of partitions of n. A111389

T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222509

a(n) = ∑_k=1..n floor(n/k) * (-2)^k-1. A344817

Number of integer partitions of n whose weighted sum is not divisible by n. A362560

Triangle read by rows: T(n,k) = 2^k*A235998(n,k), n>=1, k>=1. A235999

Expansion of ∏_k>=1 1/(1 + x^k)^k*(k+1/2). A294846

Numbers that are the sum of four fifth powers in exactly one way. A344642