7,707,747

3 × 31 × 67 × 1237

7,707,747 factors as 3 × 31 × 67 × 1237. Its 16 positive divisors give a proper-divisor sum of 3,067,805, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 3 × 31 × 67 × 1237

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,775,552

Proper Divisor Sum 3,067,805

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7707727 ← → #7707761

Radix Representation

Decimal	7707747
Binary	11101011001110001100011 (23 bits)
Octal	0o35316143
Hexadecimal	0x759C63

Divisor Catalog (16)

1 3 31 67 93 201 1,237 2,077 3,711 6,231 38,347 82,879 115,041 248,637 2,569,249 7,707,747

Collatz Trajectory (217 steps to reach 1)

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

7,707,747 23,123,242 11,561,621 34,684,864 17,342,432 8,671,216 4,335,608 2,167,804 1,083,902 541,951 1,625,854 812,927 2,438,782 1,219,391 3,658,174 1,829,087 5,487,262 2,743,631 8,230,894 4,115,447 12,346,342 6,173,171 18,519,514 9,259,757 27,779,272 13,889,636 6,944,818 3,472,409 10,417,228 5,208,614 2,604,307 7,812,922 3,906,461 11,719,384 5,859,692 2,929,846 1,464,923 4,394,770 2,197,385 6,592,156 3,296,078 1,648,039 4,944,118 2,472,059 7,416,178 3,708,089 11,124,268 5,562,134 2,781,067 8,343,202 4,171,601 12,514,804 6,257,402 3,128,701 9,386,104 4,693,052 2,346,526 1,173,263 3,519,790 1,759,895

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