9,829,934

2 × 349 × 14083

Starting at 9,829,934, the Collatz iteration reaches 1 after 145 steps. The first transition is 4914967; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 349 × 14083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,788,200

Proper Divisor Sum 4,958,266

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9829933 ← → #9829943

Radix Representation

Decimal	9829934
Binary	100101011111111000101110 (24 bits)
Octal	0o45377056
Hexadecimal	0x95FE2E

Divisor Catalog (8)

1 2 349 698 14,083 28,166 4,914,967 9,829,934

Collatz Trajectory (145 steps to reach 1)

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

9,829,934 4,914,967 14,744,902 7,372,451 22,117,354 11,058,677 33,176,032 16,588,016 8,294,008 4,147,004 2,073,502 1,036,751 3,110,254 1,555,127 4,665,382 2,332,691 6,998,074 3,499,037 10,497,112 5,248,556 2,624,278 1,312,139 3,936,418 1,968,209 5,904,628 2,952,314 1,476,157 4,428,472 2,214,236 1,107,118 553,559 1,660,678 830,339 2,491,018 1,245,509 3,736,528 1,868,264 934,132 467,066 233,533 700,600 350,300 175,150 87,575 262,726 131,363 394,090 197,045 591,136 295,568 147,784 73,892 36,946 18,473 55,420 27,710 13,855 41,566 20,783 62,350

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