5,815,848

2³ × 3 × 31 × 7817

5,815,848 factors as 2^3 × 3 × 31 × 7817. Its 32 positive divisors give a proper-divisor sum of 9,194,712, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 7817

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,010,560

Proper Divisor Sum 9,194,712

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5815847 ← → #5815861

Radix Representation

Decimal	5815848
Binary	10110001011111000101000 (23 bits)
Octal	0o26137050
Hexadecimal	0x58BE28

Divisor Catalog (32)

1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 7,817 15,634 23,451 31,268 46,902 62,536 93,804 187,608 242,327 484,654 726,981 969,308 1,453,962 1,938,616 2,907,924 5,815,848

Collatz Trajectory (170 steps to reach 1)

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

5,815,848 2,907,924 1,453,962 726,981 2,180,944 1,090,472 545,236 272,618 136,309 408,928 204,464 102,232 51,116 25,558 12,779 38,338 19,169 57,508 28,754 14,377 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151

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