7,135,410

2 × 3 × 5 × 17² × 823

Starting at 7,135,410, the Collatz iteration reaches 1 after 160 steps. The first transition is 3567705; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17^2 × 823

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,213,696

Proper Divisor Sum 11,078,286

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7135391 ← → #7135423

Radix Representation

Decimal	7135410
Binary	11011001110000010110010 (23 bits)
Octal	0o33160262
Hexadecimal	0x6CE0B2

Divisor Catalog (48)

1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 823 867 1,445 1,646 1,734 2,469 2,890 4,115 4,335 4,938 8,230 8,670 12,345 13,991 24,690 27,982 41,973 69,955 83,946 139,910 209,865 237,847 419,730 475,694 713,541 1,189,235 1,427,082 2,378,470 3,567,705 7,135,410

Collatz Trajectory (160 steps to reach 1)

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

7,135,410 3,567,705 10,703,116 5,351,558 2,675,779 8,027,338 4,013,669 12,041,008 6,020,504 3,010,252 1,505,126 752,563 2,257,690 1,128,845 3,386,536 1,693,268 846,634 423,317 1,269,952 634,976 317,488 158,744 79,372 39,686 19,843 59,530 29,765 89,296 44,648 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214

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