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Atlas › Integer Profiles › Node 42,167,180

42,167,180

22 × 5 × 11 × 191669
Abundant Even Composite

42,167,180 factors as 2^2 × 5 × 11 × 191669. Its 24 positive divisors give a proper-divisor sum of 54,434,500, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 191669
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 96,601,680
Proper Divisor Sum 54,434,500
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #42167159 ← → #42167201

Radix Representation

Decimal 42167180
Binary 10100000110110101110001100 (26 bits)
Octal 0o240665614
Hexadecimal 0x2836B8C

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 191,669 383,338 766,676 958,345 1,916,690 2,108,359 3,833,380 4,216,718 8,433,436 10,541,795 21,083,590 42,167,180

Collatz Trajectory (72 steps to reach 1)

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

42,167,180 21,083,590 10,541,795 31,625,386 15,812,693 47,438,080 23,719,040 11,859,520 5,929,760 2,964,880 1,482,440 741,220 370,610 185,305 555,916 277,958 138,979 416,938 208,469 625,408 312,704 156,352 78,176 39,088 19,544 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35

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