8,186,825

5² × 327473

Starting at 8,186,825, the Collatz iteration reaches 1 after 230 steps. The first transition is 24560476; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 327473

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 10,151,694

Proper Divisor Sum 1,964,869

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8186807 ← → #8186831

Radix Representation

Decimal	8186825
Binary	11111001110101111001001 (23 bits)
Octal	0o37165711
Hexadecimal	0x7CEBC9

Divisor Catalog (6)

1 5 25 327,473 1,637,365 8,186,825

Collatz Trajectory (230 steps to reach 1)

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

8,186,825 24,560,476 12,280,238 6,140,119 18,420,358 9,210,179 27,630,538 13,815,269 41,445,808 20,722,904 10,361,452 5,180,726 2,590,363 7,771,090 3,885,545 11,656,636 5,828,318 2,914,159 8,742,478 4,371,239 13,113,718 6,556,859 19,670,578 9,835,289 29,505,868 14,752,934 7,376,467 22,129,402 11,064,701 33,194,104 16,597,052 8,298,526 4,149,263 12,447,790 6,223,895 18,671,686 9,335,843 28,007,530 14,003,765 42,011,296 21,005,648 10,502,824 5,251,412 2,625,706 1,312,853 3,938,560 1,969,280 984,640 492,320 246,160 123,080 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928

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