77,645,789

13 × 29 × 205957

77,645,789 factors as 13 × 29 × 205957. Its 8 positive divisors give a proper-divisor sum of 8,856,571, so this integer is deficient. The Collatz stopping time is 316 steps.

Prime Factor Structure

Factorization String 13 × 29 × 205957

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 86,502,360

Proper Divisor Sum 8,856,571

Digit Sum / Digital Root 53 (Root: 8)

Adjacent Primes #77645779 ← → #77645791

Radix Representation

Decimal	77645789
Binary	100101000001100011111011101 (27 bits)
Octal	0o450143735
Hexadecimal	0x4A0C7DD

Divisor Catalog (8)

1 13 29 377 205,957 2,677,441 5,972,753 77,645,789

Collatz Trajectory (316 steps to reach 1)

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

77,645,789 232,937,368 116,468,684 58,234,342 29,117,171 87,351,514 43,675,757 131,027,272 65,513,636 32,756,818 16,378,409 49,135,228 24,567,614 12,283,807 36,851,422 18,425,711 55,277,134 27,638,567 82,915,702 41,457,851 124,373,554 62,186,777 186,560,332 93,280,166 46,640,083 139,920,250 69,960,125 209,880,376 104,940,188 52,470,094 26,235,047 78,705,142 39,352,571 118,057,714 59,028,857 177,086,572 88,543,286 44,271,643 132,814,930 66,407,465 199,222,396 99,611,198 49,805,599 149,416,798 74,708,399 224,125,198 112,062,599 336,187,798 168,093,899 504,281,698 252,140,849 756,422,548 378,211,274 189,105,637 567,316,912 283,658,456 141,829,228 70,914,614 35,457,307 106,371,922

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