2,827,521

3³ × 104723

Starting at 2,827,521, the Collatz iteration reaches 1 after 182 steps. The first transition is 8482564; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 104723

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,188,960

Proper Divisor Sum 1,361,439

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2827519 ← → #2827547

Radix Representation

Decimal	2827521
Binary	1010110010010100000001 (22 bits)
Octal	0o12622401
Hexadecimal	0x2B2501

Divisor Catalog (8)

1 3 9 27 104,723 314,169 942,507 2,827,521

Collatz Trajectory (182 steps to reach 1)

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

2,827,521 8,482,564 4,241,282 2,120,641 6,361,924 3,180,962 1,590,481 4,771,444 2,385,722 1,192,861 3,578,584 1,789,292 894,646 447,323 1,341,970 670,985 2,012,956 1,006,478 503,239 1,509,718 754,859 2,264,578 1,132,289 3,396,868 1,698,434 849,217 2,547,652 1,273,826 636,913 1,910,740 955,370 477,685 1,433,056 716,528 358,264 179,132 89,566 44,783 134,350 67,175 201,526 100,763 302,290 151,145 453,436 226,718 113,359 340,078 170,039 510,118 255,059 765,178 382,589 1,147,768 573,884 286,942 143,471 430,414 215,207 645,622

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