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Atlas › Integer Profiles › Node 41,999,280

41,999,280

24 × 3 × 5 × 103 × 1699
Abundant Even Composite

41,999,280 factors as 2^4 × 3 × 5 × 103 × 1699. Its 80 positive divisors give a proper-divisor sum of 89,539,920, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 103 × 1699
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 131,539,200
Proper Divisor Sum 89,539,920
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #41999273 ← → #41999359

Radix Representation

Decimal 41999280
Binary 10100000001101101110110000 (26 bits)
Octal 0o240155660
Hexadecimal 0x280DBB0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1,030 1,236 1,545 1,648 1,699 2,060 2,472 3,090 3,398 4,120 4,944 5,097 6,180 6,796 8,240 8,495 10,194 12,360 13,592 16,990 20,388 24,720 25,485 27,184 33,980 40,776 50,970 67,960 81,552 101,940 135,920 174,997 203,880

Collatz Trajectory (152 steps to reach 1)

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

41,999,280 20,999,640 10,499,820 5,249,910 2,624,955 7,874,866 3,937,433 11,812,300 5,906,150 2,953,075 8,859,226 4,429,613 13,288,840 6,644,420 3,322,210 1,661,105 4,983,316 2,491,658 1,245,829 3,737,488 1,868,744 934,372 467,186 233,593 700,780 350,390 175,195 525,586 262,793 788,380 394,190 197,095 591,286 295,643 886,930 443,465 1,330,396 665,198 332,599 997,798 498,899 1,496,698 748,349 2,245,048 1,122,524 561,262 280,631 841,894 420,947 1,262,842 631,421 1,894,264 947,132 473,566 236,783 710,350 355,175 1,065,526 532,763 1,598,290

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