λ
Ratio Atlas

77,699,553

3 × 317 × 81703
Deficient Odd Composite

77,699,553 factors as 3 × 317 × 81703. Its 8 positive divisors give a proper-divisor sum of 26,227,935, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3 × 317 × 81703
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 103,927,488
Proper Divisor Sum 26,227,935
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #77699549 ← → #77699561

Radix Representation

Decimal 77699553
Binary 100101000011001100111100001 (27 bits)
Octal 0o450314741
Hexadecimal 0x4A199E1

Divisor Catalog (8)

Collatz Trajectory (179 steps to reach 1)

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

77,699,553 233,098,660 116,549,330 58,274,665 174,823,996 87,411,998 43,705,999 131,117,998 65,558,999 196,676,998 98,338,499 295,015,498 147,507,749 442,523,248 221,261,624 110,630,812 55,315,406 27,657,703 82,973,110 41,486,555 124,459,666 62,229,833 186,689,500 93,344,750 46,672,375 140,017,126 70,008,563 210,025,690 105,012,845 315,038,536 157,519,268 78,759,634 39,379,817 118,139,452 59,069,726 29,534,863 88,604,590 44,302,295 132,906,886 66,453,443 199,360,330 99,680,165 299,040,496 149,520,248 74,760,124 37,380,062 18,690,031 56,070,094 28,035,047 84,105,142 42,052,571 126,157,714 63,078,857 189,236,572 94,618,286 47,309,143 141,927,430 70,963,715 212,891,146 106,445,573

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