42,693,592

2³ × 379 × 14081

42,693,592 factors as 2^3 × 379 × 14081. Its 16 positive divisors give a proper-divisor sum of 37,573,808, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^3 × 379 × 14081

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 80,267,400

Proper Divisor Sum 37,573,808

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #42693583 ← → #42693593

Radix Representation

Decimal	42693592
Binary	10100010110111001111011000 (26 bits)
Octal	0o242671730
Hexadecimal	0x28B73D8

Divisor Catalog (16)

1 2 4 8 379 758 1,516 3,032 14,081 28,162 56,324 112,648 5,336,699 10,673,398 21,346,796 42,693,592

Collatz Trajectory (98 steps to reach 1)

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

42,693,592 21,346,796 10,673,398 5,336,699 16,010,098 8,005,049 24,015,148 12,007,574 6,003,787 18,011,362 9,005,681 27,017,044 13,508,522 6,754,261 20,262,784 10,131,392 5,065,696 2,532,848 1,266,424 633,212 316,606 158,303 474,910 237,455 712,366 356,183 1,068,550 534,275 1,602,826 801,413 2,404,240 1,202,120 601,060 300,530 150,265 450,796 225,398 112,699 338,098 169,049 507,148 253,574 126,787 380,362 190,181 570,544 285,272 142,636 71,318 35,659 106,978 53,489 160,468 80,234 40,117 120,352 60,176 30,088 15,044 7,522

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