8,000,777

71 × 112687

8,000,777 factors as 71 × 112687. Its 4 positive divisors give a proper-divisor sum of 112,759, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 71 × 112687

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,113,536

Proper Divisor Sum 112,759

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8000771 ← → #8000789

Radix Representation

Decimal	8000777
Binary	11110100001010100001001 (23 bits)
Octal	0o36412411
Hexadecimal	0x7A1509

Divisor Catalog (4)

1 71 112,687 8,000,777

Collatz Trajectory (142 steps to reach 1)

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

8,000,777 24,002,332 12,001,166 6,000,583 18,001,750 9,000,875 27,002,626 13,501,313 40,503,940 20,251,970 10,125,985 30,377,956 15,188,978 7,594,489 22,783,468 11,391,734 5,695,867 17,087,602 8,543,801 25,631,404 12,815,702 6,407,851 19,223,554 9,611,777 28,835,332 14,417,666 7,208,833 21,626,500 10,813,250 5,406,625 16,219,876 8,109,938 4,054,969 12,164,908 6,082,454 3,041,227 9,123,682 4,561,841 13,685,524 6,842,762 3,421,381 10,264,144 5,132,072 2,566,036 1,283,018 641,509 1,924,528 962,264 481,132 240,566 120,283 360,850 180,425 541,276 270,638 135,319 405,958 202,979 608,938 304,469

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