λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,501,360

37,501,360

24 × 5 × 13 × 107 × 337
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 107 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 95,056,416
Proper Divisor Sum 57,555,056
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #37501357 ← → #37501361

Radix Representation

Decimal 37501360
Binary 10001111000011100110110000 (26 bits)
Octal 0o217034660
Hexadecimal 0x23C39B0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 107 130 208 214 260 337 428 520 535 674 856 1,040 1,070 1,348 1,391 1,685 1,712 2,140 2,696 2,782 3,370 4,280 4,381 5,392 5,564 6,740 6,955 8,560 8,762 11,128 13,480 13,910 17,524 21,905 22,256 26,960 27,820 35,048 36,059 43,810 55,640 70,096 72,118 87,620 111,280

Collatz Trajectory (152 steps to reach 1)

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

37,501,360 18,750,680 9,375,340 4,687,670 2,343,835 7,031,506 3,515,753 10,547,260 5,273,630 2,636,815 7,910,446 3,955,223 11,865,670 5,932,835 17,798,506 8,899,253 26,697,760 13,348,880 6,674,440 3,337,220 1,668,610 834,305 2,502,916 1,251,458 625,729 1,877,188 938,594 469,297 1,407,892 703,946 351,973 1,055,920 527,960 263,980 131,990 65,995 197,986 98,993 296,980 148,490 74,245 222,736 111,368 55,684 27,842 13,921 41,764 20,882 10,441 31,324 15,662 7,831 23,494 11,747 35,242 17,621 52,864 26,432 13,216 6,608

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #37,501,359 Browse Full Index Next Integer #37,501,361 →