6,302,308

2² × 17 × 92681

Starting at 6,302,308, the Collatz iteration reaches 1 after 90 steps. The first transition is 3151154; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 92681

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,677,932

Proper Divisor Sum 5,375,624

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6302293 ← → #6302311

Radix Representation

Decimal	6302308
Binary	11000000010101001100100 (23 bits)
Octal	0o30025144
Hexadecimal	0x602A64

Divisor Catalog (12)

1 2 4 17 34 68 92,681 185,362 370,724 1,575,577 3,151,154 6,302,308

Collatz Trajectory (90 steps to reach 1)

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

6,302,308 3,151,154 1,575,577 4,726,732 2,363,366 1,181,683 3,545,050 1,772,525 5,317,576 2,658,788 1,329,394 664,697 1,994,092 997,046 498,523 1,495,570 747,785 2,243,356 1,121,678 560,839 1,682,518 841,259 2,523,778 1,261,889 3,785,668 1,892,834 946,417 2,839,252 1,419,626 709,813 2,129,440 1,064,720 532,360 266,180 133,090 66,545 199,636 99,818 49,909 149,728 74,864 37,432 18,716 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664

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