42,579,805

5 × 73 × 116657

42,579,805 factors as 5 × 73 × 116657. Its 8 positive divisors give a proper-divisor sum of 9,216,347, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 5 × 73 × 116657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 51,796,152

Proper Divisor Sum 9,216,347

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #42579751 ← → #42579809

Radix Representation

Decimal	42579805
Binary	10100010011011011101011101 (26 bits)
Octal	0o242333535
Hexadecimal	0x289B75D

Divisor Catalog (8)

1 5 73 365 116,657 583,285 8,515,961 42,579,805

Collatz Trajectory (98 steps to reach 1)

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

42,579,805 127,739,416 63,869,708 31,934,854 15,967,427 47,902,282 23,951,141 71,853,424 35,926,712 17,963,356 8,981,678 4,490,839 13,472,518 6,736,259 20,208,778 10,104,389 30,313,168 15,156,584 7,578,292 3,789,146 1,894,573 5,683,720 2,841,860 1,420,930 710,465 2,131,396 1,065,698 532,849 1,598,548 799,274 399,637 1,198,912 599,456 299,728 149,864 74,932 37,466 18,733 56,200 28,100 14,050 7,025 21,076 10,538 5,269 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209

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