74,046,842

2 × 37 × 127 × 7879

74,046,842 factors as 2 × 37 × 127 × 7879. Its 16 positive divisors give a proper-divisor sum of 40,938,118, so this integer is deficient. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 2 × 37 × 127 × 7879

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 114,984,960

Proper Divisor Sum 40,938,118

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #74046839 ← → #74046853

Radix Representation

Decimal	74046842
Binary	100011010011101110101111010 (27 bits)
Octal	0o432356572
Hexadecimal	0x469DD7A

Divisor Catalog (16)

1 2 37 74 127 254 4,699 7,879 9,398 15,758 291,523 583,046 1,000,633 2,001,266 37,023,421 74,046,842

Collatz Trajectory (259 steps to reach 1)

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

74,046,842 37,023,421 111,070,264 55,535,132 27,767,566 13,883,783 41,651,350 20,825,675 62,477,026 31,238,513 93,715,540 46,857,770 23,428,885 70,286,656 35,143,328 17,571,664 8,785,832 4,392,916 2,196,458 1,098,229 3,294,688 1,647,344 823,672 411,836 205,918 102,959 308,878 154,439 463,318 231,659 694,978 347,489 1,042,468 521,234 260,617 781,852 390,926 195,463 586,390 293,195 879,586 439,793 1,319,380 659,690 329,845 989,536 494,768 247,384 123,692 61,846 30,923 92,770 46,385 139,156 69,578 34,789 104,368 52,184 26,092 13,046

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