7,811,755

5 × 7 × 17 × 19 × 691

Starting at 7,811,755, the Collatz iteration reaches 1 after 248 steps. The first transition is 23435266; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 19 × 691

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,957,760

Proper Divisor Sum 4,146,005

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7811747 ← → #7811813

Radix Representation

Decimal	7811755
Binary	11101110011001010101011 (23 bits)
Octal	0o35631253
Hexadecimal	0x7732AB

Divisor Catalog (32)

1 5 7 17 19 35 85 95 119 133 323 595 665 691 1,615 2,261 3,455 4,837 11,305 11,747 13,129 24,185 58,735 65,645 82,229 91,903 223,193 411,145 459,515 1,115,965 1,562,351 7,811,755

Collatz Trajectory (248 steps to reach 1)

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

7,811,755 23,435,266 11,717,633 35,152,900 17,576,450 8,788,225 26,364,676 13,182,338 6,591,169 19,773,508 9,886,754 4,943,377 14,830,132 7,415,066 3,707,533 11,122,600 5,561,300 2,780,650 1,390,325 4,170,976 2,085,488 1,042,744 521,372 260,686 130,343 391,030 195,515 586,546 293,273 879,820 439,910 219,955 659,866 329,933 989,800 494,900 247,450 123,725 371,176 185,588 92,794 46,397 139,192 69,596 34,798 17,399 52,198 26,099 78,298 39,149 117,448 58,724 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552

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