9,891,048

2³ × 3 × 412127

Starting at 9,891,048, the Collatz iteration reaches 1 after 251 steps. The first transition is 4945524; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 412127

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 24,727,680

Proper Divisor Sum 14,836,632

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9891043 ← → #9891053

Radix Representation

Decimal	9891048
Binary	100101101110110011101000 (24 bits)
Octal	0o45566350
Hexadecimal	0x96ECE8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 412,127 824,254 1,236,381 1,648,508 2,472,762 3,297,016 4,945,524 9,891,048

Collatz Trajectory (251 steps to reach 1)

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

9,891,048 4,945,524 2,472,762 1,236,381 3,709,144 1,854,572 927,286 463,643 1,390,930 695,465 2,086,396 1,043,198 521,599 1,564,798 782,399 2,347,198 1,173,599 3,520,798 1,760,399 5,281,198 2,640,599 7,921,798 3,960,899 11,882,698 5,941,349 17,824,048 8,912,024 4,456,012 2,228,006 1,114,003 3,342,010 1,671,005 5,013,016 2,506,508 1,253,254 626,627 1,879,882 939,941 2,819,824 1,409,912 704,956 352,478 176,239 528,718 264,359 793,078 396,539 1,189,618 594,809 1,784,428 892,214 446,107 1,338,322 669,161 2,007,484 1,003,742 501,871 1,505,614 752,807 2,258,422

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