8,083,813

2129 × 3797

Starting at 8,083,813, the Collatz iteration reaches 1 after 230 steps. The first transition is 24251440; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 2129 × 3797

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,089,740

Proper Divisor Sum 5,927

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8083811 ← → #8083841

Radix Representation

Decimal	8083813
Binary	11110110101100101100101 (23 bits)
Octal	0o36654545
Hexadecimal	0x7B5965

Divisor Catalog (4)

1 2,129 3,797 8,083,813

Collatz Trajectory (230 steps to reach 1)

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

8,083,813 24,251,440 12,125,720 6,062,860 3,031,430 1,515,715 4,547,146 2,273,573 6,820,720 3,410,360 1,705,180 852,590 426,295 1,278,886 639,443 1,918,330 959,165 2,877,496 1,438,748 719,374 359,687 1,079,062 539,531 1,618,594 809,297 2,427,892 1,213,946 606,973 1,820,920 910,460 455,230 227,615 682,846 341,423 1,024,270 512,135 1,536,406 768,203 2,304,610 1,152,305 3,456,916 1,728,458 864,229 2,592,688 1,296,344 648,172 324,086 162,043 486,130 243,065 729,196 364,598 182,299 546,898 273,449 820,348 410,174 205,087 615,262 307,631

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