λ
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42,087,760

24 × 5 × 11 × 132 × 283
Abundant Even Composite

42,087,760 factors as 2^4 × 5 × 11 × 13^2 × 283. Its 120 positive divisors give a proper-divisor sum of 73,913,744, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 13^2 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 116,001,504
Proper Divisor Sum 73,913,744
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #42087751 ← → #42087763

Radix Representation

Decimal 42087760
Binary 10100000100011010101010000 (26 bits)
Octal 0o240432520
Hexadecimal 0x2823550

Divisor Catalog (60 of 120)

1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 169 176 208 220 260 283 286 338 440 520 566 572 676 715 845 880 1,040 1,132 1,144 1,352 1,415 1,430 1,690 1,859 2,264 2,288 2,704 2,830 2,860 3,113 3,380 3,679 3,718 4,528 5,660 5,720 6,226

Collatz Trajectory (67 steps to reach 1)

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

42,087,760 21,043,880 10,521,940 5,260,970 2,630,485 7,891,456 3,945,728 1,972,864 986,432 493,216 246,608 123,304 61,652 30,826 15,413 46,240 23,120 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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