9,557,729

37 × 258317

Starting at 9,557,729, the Collatz iteration reaches 1 after 331 steps. The first transition is 28673188; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 258317

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 9,816,084

Proper Divisor Sum 258,355

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9557711 ← → #9557747

Radix Representation

Decimal	9557729
Binary	100100011101011011100001 (24 bits)
Octal	0o44353341
Hexadecimal	0x91D6E1

Divisor Catalog (4)

1 37 258,317 9,557,729

Collatz Trajectory (331 steps to reach 1)

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

9,557,729 28,673,188 14,336,594 7,168,297 21,504,892 10,752,446 5,376,223 16,128,670 8,064,335 24,193,006 12,096,503 36,289,510 18,144,755 54,434,266 27,217,133 81,651,400 40,825,700 20,412,850 10,206,425 30,619,276 15,309,638 7,654,819 22,964,458 11,482,229 34,446,688 17,223,344 8,611,672 4,305,836 2,152,918 1,076,459 3,229,378 1,614,689 4,844,068 2,422,034 1,211,017 3,633,052 1,816,526 908,263 2,724,790 1,362,395 4,087,186 2,043,593 6,130,780 3,065,390 1,532,695 4,598,086 2,299,043 6,897,130 3,448,565 10,345,696 5,172,848 2,586,424 1,293,212 646,606 323,303 969,910 484,955 1,454,866 727,433 2,182,300

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