7,007,395

5 × 31 × 53 × 853

Starting at 7,007,395, the Collatz iteration reaches 1 after 116 steps. The first transition is 21022186; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 31 × 53 × 853

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,854,272

Proper Divisor Sum 1,846,877

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7007389 ← → #7007401

Radix Representation

Decimal	7007395
Binary	11010101110110010100011 (23 bits)
Octal	0o32566243
Hexadecimal	0x6AECA3

Divisor Catalog (16)

1 5 31 53 155 265 853 1,643 4,265 8,215 26,443 45,209 132,215 226,045 1,401,479 7,007,395

Collatz Trajectory (116 steps to reach 1)

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

7,007,395 21,022,186 10,511,093 31,533,280 15,766,640 7,883,320 3,941,660 1,970,830 985,415 2,956,246 1,478,123 4,434,370 2,217,185 6,651,556 3,325,778 1,662,889 4,988,668 2,494,334 1,247,167 3,741,502 1,870,751 5,612,254 2,806,127 8,418,382 4,209,191 12,627,574 6,313,787 18,941,362 9,470,681 28,412,044 14,206,022 7,103,011 21,309,034 10,654,517 31,963,552 15,981,776 7,990,888 3,995,444 1,997,722 998,861 2,996,584 1,498,292 749,146 374,573 1,123,720 561,860 280,930 140,465 421,396 210,698 105,349 316,048 158,024 79,012 39,506 19,753 59,260 29,630 14,815 44,446

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