7,657,776

2⁴ × 3² × 7 × 71 × 107

7,657,776 factors as 2^4 × 3^2 × 7 × 71 × 107. Its 120 positive divisors give a proper-divisor sum of 17,412,048, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 71 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 25,069,824

Proper Divisor Sum 17,412,048

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7657751 ← → #7657777

Radix Representation

Decimal	7657776
Binary	11101001101100100110000 (23 bits)
Octal	0o35154460
Hexadecimal	0x74D930

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 107 112 126 142 144 168 213 214 252 284 321 336 426 428 497 504 568 639 642 749 852 856 963 994 1,008 1,136 1,278 1,284 1,491 1,498 1,704 1,712 1,926 1,988 2,247 2,556 2,568

Collatz Trajectory (80 steps to reach 1)

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

7,657,776 3,828,888 1,914,444 957,222 478,611 1,435,834 717,917 2,153,752 1,076,876 538,438 269,219 807,658 403,829 1,211,488 605,744 302,872 151,436 75,718 37,859 113,578 56,789 170,368 85,184 42,592 21,296 10,648 5,324 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38

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