42,078,094

2 × 17 × 593 × 2087

42,078,094 factors as 2 × 17 × 593 × 2087. Its 16 positive divisors give a proper-divisor sum of 24,896,594, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 17 × 593 × 2087

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 66,974,688

Proper Divisor Sum 24,896,594

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #42078089 ← → #42078097

Radix Representation

Decimal	42078094
Binary	10100000100000111110001110 (26 bits)
Octal	0o240407616
Hexadecimal	0x2820F8E

Divisor Catalog (16)

1 2 17 34 593 1,186 2,087 4,174 10,081 20,162 35,479 70,958 1,237,591 2,475,182 21,039,047 42,078,094

Collatz Trajectory (235 steps to reach 1)

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

42,078,094 21,039,047 63,117,142 31,558,571 94,675,714 47,337,857 142,013,572 71,006,786 35,503,393 106,510,180 53,255,090 26,627,545 79,882,636 39,941,318 19,970,659 59,911,978 29,955,989 89,867,968 44,933,984 22,466,992 11,233,496 5,616,748 2,808,374 1,404,187 4,212,562 2,106,281 6,318,844 3,159,422 1,579,711 4,739,134 2,369,567 7,108,702 3,554,351 10,663,054 5,331,527 15,994,582 7,997,291 23,991,874 11,995,937 35,987,812 17,993,906 8,996,953 26,990,860 13,495,430 6,747,715 20,243,146 10,121,573 30,364,720 15,182,360 7,591,180 3,795,590 1,897,795 5,693,386 2,846,693 8,540,080 4,270,040 2,135,020 1,067,510 533,755 1,601,266

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