9,824,002

2 × 577 × 8513

Starting at 9,824,002, the Collatz iteration reaches 1 after 145 steps. The first transition is 4912001; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 577 × 8513

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,763,276

Proper Divisor Sum 4,939,274

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #9823973 ← → #9824029

Radix Representation

Decimal	9824002
Binary	100101011110011100000010 (24 bits)
Octal	0o45363402
Hexadecimal	0x95E702

Divisor Catalog (8)

1 2 577 1,154 8,513 17,026 4,912,001 9,824,002

Collatz Trajectory (145 steps to reach 1)

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

9,824,002 4,912,001 14,736,004 7,368,002 3,684,001 11,052,004 5,526,002 2,763,001 8,289,004 4,144,502 2,072,251 6,216,754 3,108,377 9,325,132 4,662,566 2,331,283 6,993,850 3,496,925 10,490,776 5,245,388 2,622,694 1,311,347 3,934,042 1,967,021 5,901,064 2,950,532 1,475,266 737,633 2,212,900 1,106,450 553,225 1,659,676 829,838 414,919 1,244,758 622,379 1,867,138 933,569 2,800,708 1,400,354 700,177 2,100,532 1,050,266 525,133 1,575,400 787,700 393,850 196,925 590,776 295,388 147,694 73,847 221,542 110,771 332,314 166,157 498,472 249,236 124,618 62,309

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