λ
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15,831,740

22 × 5 × 41 × 43 × 449
Abundant Even Composite

15,831,740 factors as 2^2 × 5 × 41 × 43 × 449. Its 48 positive divisors give a proper-divisor sum of 19,095,460, so this integer is abundant. The Collatz stopping time is 293 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 41 × 43 × 449
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 34,927,200
Proper Divisor Sum 19,095,460
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #15831737 ← → #15831763

Radix Representation

Decimal 15831740
Binary 111100011001001010111100 (24 bits)
Octal 0o74311274
Hexadecimal 0xF192BC

Divisor Catalog (48)

1 2 4 5 10 20 41 43 82 86 164 172 205 215 410 430 449 820 860 898 1,763 1,796 2,245 3,526 4,490 7,052 8,815 8,980 17,630 18,409 19,307 35,260 36,818 38,614 73,636 77,228 92,045 96,535 184,090 193,070 368,180 386,140 791,587 1,583,174 3,166,348 3,957,935 7,915,870 15,831,740

Collatz Trajectory (293 steps to reach 1)

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

15,831,740 7,915,870 3,957,935 11,873,806 5,936,903 17,810,710 8,905,355 26,716,066 13,358,033 40,074,100 20,037,050 10,018,525 30,055,576 15,027,788 7,513,894 3,756,947 11,270,842 5,635,421 16,906,264 8,453,132 4,226,566 2,113,283 6,339,850 3,169,925 9,509,776 4,754,888 2,377,444 1,188,722 594,361 1,783,084 891,542 445,771 1,337,314 668,657 2,005,972 1,002,986 501,493 1,504,480 752,240 376,120 188,060 94,030 47,015 141,046 70,523 211,570 105,785 317,356 158,678 79,339 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415

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