8,679,132

2² × 3² × 7 × 11 × 31 × 101

Starting at 8,679,132, the Collatz iteration reaches 1 after 67 steps. The first transition is 4339566; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 11 × 31 × 101

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 28,514,304

Proper Divisor Sum 19,835,172

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8679109 ← → #8679137

Radix Representation

Decimal	8679132
Binary	100001000110111011011100 (24 bits)
Octal	0o41067334
Hexadecimal	0x846EDC

Divisor Catalog (60 of 144)

1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 101 124 126 132 154 186 198 202 217 231 252 279 303 308 341 372 396 404 434 462 558 606 651 682 693 707 868 909 924 1,023 1,111 1,116 1,212 1,302

Collatz Trajectory (67 steps to reach 1)

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

8,679,132 4,339,566 2,169,783 6,509,350 3,254,675 9,764,026 4,882,013 14,646,040 7,323,020 3,661,510 1,830,755 5,492,266 2,746,133 8,238,400 4,119,200 2,059,600 1,029,800 514,900 257,450 128,725 386,176 193,088 96,544 48,272 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256

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