8,002,933

19 × 421207

Starting at 8,002,933, the Collatz iteration reaches 1 after 142 steps. The first transition is 24008800; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 19 × 421207

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,424,160

Proper Divisor Sum 421,227

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8002931 ← → #8002961

Radix Representation

Decimal	8002933
Binary	11110100001110101110101 (23 bits)
Octal	0o36416565
Hexadecimal	0x7A1D75

Divisor Catalog (4)

1 19 421,207 8,002,933

Collatz Trajectory (142 steps to reach 1)

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

8,002,933 24,008,800 12,004,400 6,002,200 3,001,100 1,500,550 750,275 2,250,826 1,125,413 3,376,240 1,688,120 844,060 422,030 211,015 633,046 316,523 949,570 474,785 1,424,356 712,178 356,089 1,068,268 534,134 267,067 801,202 400,601 1,201,804 600,902 300,451 901,354 450,677 1,352,032 676,016 338,008 169,004 84,502 42,251 126,754 63,377 190,132 95,066 47,533 142,600 71,300 35,650 17,825 53,476 26,738 13,369 40,108 20,054 10,027 30,082 15,041 45,124 22,562 11,281 33,844 16,922 8,461

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