λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,939,736

42,939,736

23 × 7 × 293 × 2617
Abundant Even Composite

42,939,736 factors as 2^3 × 7 × 293 × 2617. Its 32 positive divisors give a proper-divisor sum of 49,423,304, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 293 × 2617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,363,040
Proper Divisor Sum 49,423,304
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #42939733 ← → #42939737

Radix Representation

Decimal 42939736
Binary 10100011110011010101011000 (26 bits)
Octal 0o243632530
Hexadecimal 0x28F3558

Divisor Catalog (32)

1 2 4 7 8 14 28 56 293 586 1,172 2,051 2,344 2,617 4,102 5,234 8,204 10,468 16,408 18,319 20,936 36,638 73,276 146,552 766,781 1,533,562 3,067,124 5,367,467 6,134,248 10,734,934 21,469,868 42,939,736

Collatz Trajectory (147 steps to reach 1)

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

42,939,736 21,469,868 10,734,934 5,367,467 16,102,402 8,051,201 24,153,604 12,076,802 6,038,401 18,115,204 9,057,602 4,528,801 13,586,404 6,793,202 3,396,601 10,189,804 5,094,902 2,547,451 7,642,354 3,821,177 11,463,532 5,731,766 2,865,883 8,597,650 4,298,825 12,896,476 6,448,238 3,224,119 9,672,358 4,836,179 14,508,538 7,254,269 21,762,808 10,881,404 5,440,702 2,720,351 8,161,054 4,080,527 12,241,582 6,120,791 18,362,374 9,181,187 27,543,562 13,771,781 41,315,344 20,657,672 10,328,836 5,164,418 2,582,209 7,746,628 3,873,314 1,936,657 5,809,972 2,904,986 1,452,493 4,357,480 2,178,740 1,089,370 544,685 1,634,056

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #42,939,735 Browse Full Index Next Integer #42,939,737 →