8,083,974

2 × 3 × 1347329

Starting at 8,083,974, the Collatz iteration reaches 1 after 217 steps. The first transition is 4041987; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1347329

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 16,167,960

Proper Divisor Sum 8,083,986

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8083967 ← → #8083979

Radix Representation

Decimal	8083974
Binary	11110110101101000000110 (23 bits)
Octal	0o36655006
Hexadecimal	0x7B5A06

Divisor Catalog (8)

1 2 3 6 1,347,329 2,694,658 4,041,987 8,083,974

Collatz Trajectory (217 steps to reach 1)

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

8,083,974 4,041,987 12,125,962 6,062,981 18,188,944 9,094,472 4,547,236 2,273,618 1,136,809 3,410,428 1,705,214 852,607 2,557,822 1,278,911 3,836,734 1,918,367 5,755,102 2,877,551 8,632,654 4,316,327 12,948,982 6,474,491 19,423,474 9,711,737 29,135,212 14,567,606 7,283,803 21,851,410 10,925,705 32,777,116 16,388,558 8,194,279 24,582,838 12,291,419 36,874,258 18,437,129 55,311,388 27,655,694 13,827,847 41,483,542 20,741,771 62,225,314 31,112,657 93,337,972 46,668,986 23,334,493 70,003,480 35,001,740 17,500,870 8,750,435 26,251,306 13,125,653 39,376,960 19,688,480 9,844,240 4,922,120 2,461,060 1,230,530 615,265 1,845,796

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