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Atlas › Integer Profiles › Node 78,377,704

78,377,704

23 × 113 × 277 × 313
Deficient Even Composite

78,377,704 factors as 2^3 × 113 × 277 × 313. Its 32 positive divisors give a proper-divisor sum of 70,891,616, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^3 × 113 × 277 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 149,269,320
Proper Divisor Sum 70,891,616
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #78377687 ← → #78377707

Radix Representation

Decimal 78377704
Binary 100101010111111001011101000 (27 bits)
Octal 0o452771350
Hexadecimal 0x4ABF2E8

Divisor Catalog (32)

1 2 4 8 113 226 277 313 452 554 626 904 1,108 1,252 2,216 2,504 31,301 35,369 62,602 70,738 86,701 125,204 141,476 173,402 250,408 282,952 346,804 693,608 9,797,213 19,594,426 39,188,852 78,377,704

Collatz Trajectory (91 steps to reach 1)

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

78,377,704 39,188,852 19,594,426 9,797,213 29,391,640 14,695,820 7,347,910 3,673,955 11,021,866 5,510,933 16,532,800 8,266,400 4,133,200 2,066,600 1,033,300 516,650 258,325 774,976 387,488 193,744 96,872 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308

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