8,372,130

2 × 3 × 5 × 13 × 21467

Starting at 8,372,130, the Collatz iteration reaches 1 after 199 steps. The first transition is 4186065; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 21467

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,639,744

Proper Divisor Sum 13,267,614

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8372083 ← → #8372137

Radix Representation

Decimal	8372130
Binary	11111111011111110100010 (23 bits)
Octal	0o37737642
Hexadecimal	0x7FBFA2

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 21,467 42,934 64,401 107,335 128,802 214,670 279,071 322,005 558,142 644,010 837,213 1,395,355 1,674,426 2,790,710 4,186,065 8,372,130

Collatz Trajectory (199 steps to reach 1)

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

8,372,130 4,186,065 12,558,196 6,279,098 3,139,549 9,418,648 4,709,324 2,354,662 1,177,331 3,531,994 1,765,997 5,297,992 2,648,996 1,324,498 662,249 1,986,748 993,374 496,687 1,490,062 745,031 2,235,094 1,117,547 3,352,642 1,676,321 5,028,964 2,514,482 1,257,241 3,771,724 1,885,862 942,931 2,828,794 1,414,397 4,243,192 2,121,596 1,060,798 530,399 1,591,198 795,599 2,386,798 1,193,399 3,580,198 1,790,099 5,370,298 2,685,149 8,055,448 4,027,724 2,013,862 1,006,931 3,020,794 1,510,397 4,531,192 2,265,596 1,132,798 566,399 1,699,198 849,599 2,548,798 1,274,399 3,823,198 1,911,599

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