8,623,660

2² × 5 × 71 × 6073

Starting at 8,623,660, the Collatz iteration reaches 1 after 181 steps. The first transition is 4311830; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 71 × 6073

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,367,776

Proper Divisor Sum 9,744,116

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8623651 ← → #8623661

Radix Representation

Decimal	8623660
Binary	100000111001011000101100 (24 bits)
Octal	0o40713054
Hexadecimal	0x83962C

Divisor Catalog (24)

1 2 4 5 10 20 71 142 284 355 710 1,420 6,073 12,146 24,292 30,365 60,730 121,460 431,183 862,366 1,724,732 2,155,915 4,311,830 8,623,660

Collatz Trajectory (181 steps to reach 1)

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

8,623,660 4,311,830 2,155,915 6,467,746 3,233,873 9,701,620 4,850,810 2,425,405 7,276,216 3,638,108 1,819,054 909,527 2,728,582 1,364,291 4,092,874 2,046,437 6,139,312 3,069,656 1,534,828 767,414 383,707 1,151,122 575,561 1,726,684 863,342 431,671 1,295,014 647,507 1,942,522 971,261 2,913,784 1,456,892 728,446 364,223 1,092,670 546,335 1,639,006 819,503 2,458,510 1,229,255 3,687,766 1,843,883 5,531,650 2,765,825 8,297,476 4,148,738 2,074,369 6,223,108 3,111,554 1,555,777 4,667,332 2,333,666 1,166,833 3,500,500 1,750,250 875,125 2,625,376 1,312,688 656,344 328,172

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