9,977,266

2 × 13 × 17 × 22573

Starting at 9,977,266, the Collatz iteration reaches 1 after 207 steps. The first transition is 4988633; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 22573

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,065,944

Proper Divisor Sum 7,088,678

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #9977251 ← → #9977269

Radix Representation

Decimal	9977266
Binary	100110000011110110110010 (24 bits)
Octal	0o46036662
Hexadecimal	0x983DB2

Divisor Catalog (16)

1 2 13 17 26 34 221 442 22,573 45,146 293,449 383,741 586,898 767,482 4,988,633 9,977,266

Collatz Trajectory (207 steps to reach 1)

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

9,977,266 4,988,633 14,965,900 7,482,950 3,741,475 11,224,426 5,612,213 16,836,640 8,418,320 4,209,160 2,104,580 1,052,290 526,145 1,578,436 789,218 394,609 1,183,828 591,914 295,957 887,872 443,936 221,968 110,984 55,492 27,746 13,873 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556

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