5,313,512

2³ × 809 × 821

5,313,512 factors as 2^3 × 809 × 821. Its 16 positive divisors give a proper-divisor sum of 4,673,788, so this integer is deficient. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^3 × 809 × 821

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,987,300

Proper Divisor Sum 4,673,788

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #5313463 ← → #5313523

Radix Representation

Decimal	5313512
Binary	10100010001001111101000 (23 bits)
Octal	0o24211750
Hexadecimal	0x5113E8

Divisor Catalog (16)

1 2 4 8 809 821 1,618 1,642 3,236 3,284 6,472 6,568 664,189 1,328,378 2,656,756 5,313,512

Collatz Trajectory (263 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,313,512 2,656,756 1,328,378 664,189 1,992,568 996,284 498,142 249,071 747,214 373,607 1,120,822 560,411 1,681,234 840,617 2,521,852 1,260,926 630,463 1,891,390 945,695 2,837,086 1,418,543 4,255,630 2,127,815 6,383,446 3,191,723 9,575,170 4,787,585 14,362,756 7,181,378 3,590,689 10,772,068 5,386,034 2,693,017 8,079,052 4,039,526 2,019,763 6,059,290 3,029,645 9,088,936 4,544,468 2,272,234 1,136,117 3,408,352 1,704,176 852,088 426,044 213,022 106,511 319,534 159,767 479,302 239,651 718,954 359,477 1,078,432 539,216 269,608 134,804 67,402 33,701

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