8,235,942

2 × 3 × 11 × 13 × 29 × 331

Starting at 8,235,942, the Collatz iteration reaches 1 after 155 steps. The first transition is 4117971; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13 × 29 × 331

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 20,079,360

Proper Divisor Sum 11,843,418

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8235923 ← → #8235947

Radix Representation

Decimal	8235942
Binary	11111011010101110100110 (23 bits)
Octal	0o37325646
Hexadecimal	0x7DABA6

Divisor Catalog (60 of 64)

1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 286 319 331 377 429 638 662 754 858 957 993 1,131 1,914 1,986 2,262 3,641 4,147 4,303 7,282 8,294 8,606 9,599 10,923 12,441 12,909 19,198 21,846 24,882 25,818 28,797 47,333 57,594 94,666 105,589 124,787 141,999 211,178 249,574 283,998 316,767 374,361 633,534 748,722

Collatz Trajectory (155 steps to reach 1)

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

8,235,942 4,117,971 12,353,914 6,176,957 18,530,872 9,265,436 4,632,718 2,316,359 6,949,078 3,474,539 10,423,618 5,211,809 15,635,428 7,817,714 3,908,857 11,726,572 5,863,286 2,931,643 8,794,930 4,397,465 13,192,396 6,596,198 3,298,099 9,894,298 4,947,149 14,841,448 7,420,724 3,710,362 1,855,181 5,565,544 2,782,772 1,391,386 695,693 2,087,080 1,043,540 521,770 260,885 782,656 391,328 195,664 97,832 48,916 24,458 12,229 36,688 18,344 9,172 4,586 2,293 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456

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