3,343,403

7 × 101 × 4729

Starting at 3,343,403, the Collatz iteration reaches 1 after 164 steps. The first transition is 10030210; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 101 × 4729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,859,680

Proper Divisor Sum 516,277

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3343397 ← → #3343409

Radix Representation

Decimal	3343403
Binary	1100110000010000101011 (22 bits)
Octal	0o14602053
Hexadecimal	0x33042B

Divisor Catalog (8)

1 7 101 707 4,729 33,103 477,629 3,343,403

Collatz Trajectory (164 steps to reach 1)

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

3,343,403 10,030,210 5,015,105 15,045,316 7,522,658 3,761,329 11,283,988 5,641,994 2,820,997 8,462,992 4,231,496 2,115,748 1,057,874 528,937 1,586,812 793,406 396,703 1,190,110 595,055 1,785,166 892,583 2,677,750 1,338,875 4,016,626 2,008,313 6,024,940 3,012,470 1,506,235 4,518,706 2,259,353 6,778,060 3,389,030 1,694,515 5,083,546 2,541,773 7,625,320 3,812,660 1,906,330 953,165 2,859,496 1,429,748 714,874 357,437 1,072,312 536,156 268,078 134,039 402,118 201,059 603,178 301,589 904,768 452,384 226,192 113,096 56,548 28,274 14,137 42,412 21,206

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