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Atlas › Integer Profiles › Node 42,085,744

42,085,744

24 × 17 × 154727
Abundant Even Composite

42,085,744 factors as 2^4 × 17 × 154727. Its 20 positive divisors give a proper-divisor sum of 44,252,480, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 154727
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 86,338,224
Proper Divisor Sum 44,252,480
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #42085711 ← → #42085753

Radix Representation

Decimal 42085744
Binary 10100000100010110101110000 (26 bits)
Octal 0o240426560
Hexadecimal 0x2822D70

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 154,727 309,454 618,908 1,237,816 2,475,632 2,630,359 5,260,718 10,521,436 21,042,872 42,085,744

Collatz Trajectory (147 steps to reach 1)

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

42,085,744 21,042,872 10,521,436 5,260,718 2,630,359 7,891,078 3,945,539 11,836,618 5,918,309 17,754,928 8,877,464 4,438,732 2,219,366 1,109,683 3,329,050 1,664,525 4,993,576 2,496,788 1,248,394 624,197 1,872,592 936,296 468,148 234,074 117,037 351,112 175,556 87,778 43,889 131,668 65,834 32,917 98,752 49,376 24,688 12,344 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240

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