7,040,097

3² × 659 × 1187

Starting at 7,040,097, the Collatz iteration reaches 1 after 173 steps. The first transition is 21120292; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 659 × 1187

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,193,040

Proper Divisor Sum 3,152,943

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7040081 ← → #7040113

Radix Representation

Decimal	7040097
Binary	11010110110110001100001 (23 bits)
Octal	0o32666141
Hexadecimal	0x6B6C61

Divisor Catalog (12)

1 3 9 659 1,187 1,977 3,561 5,931 10,683 782,233 2,346,699 7,040,097

Collatz Trajectory (173 steps to reach 1)

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

7,040,097 21,120,292 10,560,146 5,280,073 15,840,220 7,920,110 3,960,055 11,880,166 5,940,083 17,820,250 8,910,125 26,730,376 13,365,188 6,682,594 3,341,297 10,023,892 5,011,946 2,505,973 7,517,920 3,758,960 1,879,480 939,740 469,870 234,935 704,806 352,403 1,057,210 528,605 1,585,816 792,908 396,454 198,227 594,682 297,341 892,024 446,012 223,006 111,503 334,510 167,255 501,766 250,883 752,650 376,325 1,128,976 564,488 282,244 141,122 70,561 211,684 105,842 52,921 158,764 79,382 39,691 119,074 59,537 178,612 89,306 44,653

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