8,831,598

2 × 3 × 43 × 34231

Starting at 8,831,598, the Collatz iteration reaches 1 after 305 steps. The first transition is 4415799; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 43 × 34231

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,074,496

Proper Divisor Sum 9,242,898

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8831593 ← → #8831633

Radix Representation

Decimal	8831598
Binary	100001101100001001101110 (24 bits)
Octal	0o41541156
Hexadecimal	0x86C26E

Divisor Catalog (16)

1 2 3 6 43 86 129 258 34,231 68,462 102,693 205,386 1,471,933 2,943,866 4,415,799 8,831,598

Collatz Trajectory (305 steps to reach 1)

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

8,831,598 4,415,799 13,247,398 6,623,699 19,871,098 9,935,549 29,806,648 14,903,324 7,451,662 3,725,831 11,177,494 5,588,747 16,766,242 8,383,121 25,149,364 12,574,682 6,287,341 18,862,024 9,431,012 4,715,506 2,357,753 7,073,260 3,536,630 1,768,315 5,304,946 2,652,473 7,957,420 3,978,710 1,989,355 5,968,066 2,984,033 8,952,100 4,476,050 2,238,025 6,714,076 3,357,038 1,678,519 5,035,558 2,517,779 7,553,338 3,776,669 11,330,008 5,665,004 2,832,502 1,416,251 4,248,754 2,124,377 6,373,132 3,186,566 1,593,283 4,779,850 2,389,925 7,169,776 3,584,888 1,792,444 896,222 448,111 1,344,334 672,167 2,016,502

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