7,012,768

2⁵ × 7 × 31307

Starting at 7,012,768, the Collatz iteration reaches 1 after 160 steps. The first transition is 3506384; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 31307

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,779,232

Proper Divisor Sum 8,766,464

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7012703 ← → #7012771

Radix Representation

Decimal	7012768
Binary	11010110000000110100000 (23 bits)
Octal	0o32600640
Hexadecimal	0x6B01A0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 31,307 62,614 125,228 219,149 250,456 438,298 500,912 876,596 1,001,824 1,753,192 3,506,384 7,012,768

Collatz Trajectory (160 steps to reach 1)

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

7,012,768 3,506,384 1,753,192 876,596 438,298 219,149 657,448 328,724 164,362 82,181 246,544 123,272 61,636 30,818 15,409 46,228 23,114 11,557 34,672 17,336 8,668 4,334 2,167 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214

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