λ
Ratio Atlas
Atlas › Integer Profiles › Node 43,237,840

43,237,840

24 × 5 × 29 × 18637
Abundant Even Composite

43,237,840 factors as 2^4 × 5 × 29 × 18637. Its 40 positive divisors give a proper-divisor sum of 60,762,200, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 29 × 18637
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 104,000,040
Proper Divisor Sum 60,762,200
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #43237829 ← → #43237841

Radix Representation

Decimal 43237840
Binary 10100100111100000111010000 (26 bits)
Octal 0o244740720
Hexadecimal 0x293C1D0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1,160 2,320 18,637 37,274 74,548 93,185 149,096 186,370 298,192 372,740 540,473 745,480 1,080,946 1,490,960 2,161,892 2,702,365 4,323,784 5,404,730 8,647,568 10,809,460 21,618,920 43,237,840

Collatz Trajectory (116 steps to reach 1)

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

43,237,840 21,618,920 10,809,460 5,404,730 2,702,365 8,107,096 4,053,548 2,026,774 1,013,387 3,040,162 1,520,081 4,560,244 2,280,122 1,140,061 3,420,184 1,710,092 855,046 427,523 1,282,570 641,285 1,923,856 961,928 480,964 240,482 120,241 360,724 180,362 90,181 270,544 135,272 67,636 33,818 16,909 50,728 25,364 12,682 6,341 19,024 9,512 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #43,237,839 Browse Full Index Next Integer #43,237,841 →