4,050,827

11 × 61 × 6037

Starting at 4,050,827, the Collatz iteration reaches 1 after 198 steps. The first transition is 12152482; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 61 × 6037

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,492,272

Proper Divisor Sum 441,445

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4050821 ← → #4050833

Radix Representation

Decimal	4050827
Binary	1111011100111110001011 (22 bits)
Octal	0o17347613
Hexadecimal	0x3DCF8B

Divisor Catalog (8)

1 11 61 671 6,037 66,407 368,257 4,050,827

Collatz Trajectory (198 steps to reach 1)

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

4,050,827 12,152,482 6,076,241 18,228,724 9,114,362 4,557,181 13,671,544 6,835,772 3,417,886 1,708,943 5,126,830 2,563,415 7,690,246 3,845,123 11,535,370 5,767,685 17,303,056 8,651,528 4,325,764 2,162,882 1,081,441 3,244,324 1,622,162 811,081 2,433,244 1,216,622 608,311 1,824,934 912,467 2,737,402 1,368,701 4,106,104 2,053,052 1,026,526 513,263 1,539,790 769,895 2,309,686 1,154,843 3,464,530 1,732,265 5,196,796 2,598,398 1,299,199 3,897,598 1,948,799 5,846,398 2,923,199 8,769,598 4,384,799 13,154,398 6,577,199 19,731,598 9,865,799 29,597,398 14,798,699 44,396,098 22,198,049 66,594,148 33,297,074

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