8,088,948

2² × 3² × 7 × 32099

Starting at 8,088,948, the Collatz iteration reaches 1 after 85 steps. The first transition is 4044474; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 32099

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 23,368,800

Proper Divisor Sum 15,279,852

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8088947 ← → #8088953

Radix Representation

Decimal	8088948
Binary	11110110110110101110100 (23 bits)
Octal	0o36666564
Hexadecimal	0x7B6D74

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 32,099 64,198 96,297 128,396 192,594 224,693 288,891 385,188 449,386 577,782 674,079 898,772 1,155,564 1,348,158 2,022,237 2,696,316 4,044,474 8,088,948

Collatz Trajectory (85 steps to reach 1)

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

8,088,948 4,044,474 2,022,237 6,066,712 3,033,356 1,516,678 758,339 2,275,018 1,137,509 3,412,528 1,706,264 853,132 426,566 213,283 639,850 319,925 959,776 479,888 239,944 119,972 59,986 29,993 89,980 44,990 22,495 67,486 33,743 101,230 50,615 151,846 75,923 227,770 113,885 341,656 170,828 85,414 42,707 128,122 64,061 192,184 96,092 48,046 24,023 72,070 36,035 108,106 54,053 162,160 81,080 40,540 20,270 10,135 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552

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