7,482,992

2⁴ × 11 × 17 × 41 × 61

Starting at 7,482,992, the Collatz iteration reaches 1 after 98 steps. The first transition is 3741496; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 17 × 41 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 17,436,384

Proper Divisor Sum 9,953,392

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7482983 ← → #7483001

Radix Representation

Decimal	7482992
Binary	11100100010111001110000 (23 bits)
Octal	0o34427160
Hexadecimal	0x722E70

Divisor Catalog (60 of 80)

1 2 4 8 11 16 17 22 34 41 44 61 68 82 88 122 136 164 176 187 244 272 328 374 451 488 656 671 697 748 902 976 1,037 1,342 1,394 1,496 1,804 2,074 2,501 2,684 2,788 2,992 3,608 4,148 5,002 5,368 5,576 7,216 7,667 8,296 10,004 10,736 11,152 11,407 15,334 16,592 20,008 22,814 27,511 30,668

Collatz Trajectory (98 steps to reach 1)

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

7,482,992 3,741,496 1,870,748 935,374 467,687 1,403,062 701,531 2,104,594 1,052,297 3,156,892 1,578,446 789,223 2,367,670 1,183,835 3,551,506 1,775,753 5,327,260 2,663,630 1,331,815 3,995,446 1,997,723 5,993,170 2,996,585 8,989,756 4,494,878 2,247,439 6,742,318 3,371,159 10,113,478 5,056,739 15,170,218 7,585,109 22,755,328 11,377,664 5,688,832 2,844,416 1,422,208 711,104 355,552 177,776 88,888 44,444 22,222 11,111 33,334 16,667 50,002 25,001 75,004 37,502 18,751 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794

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