42,172,000

2⁵ × 5³ × 13 × 811

42,172,000 factors as 2^5 × 5^3 × 13 × 811. Its 96 positive divisors give a proper-divisor sum of 69,552,704, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^5 × 5^3 × 13 × 811

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 111,724,704

Proper Divisor Sum 69,552,704

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #42171989 ← → #42172007

Radix Representation

Decimal	42172000
Binary	10100000110111111001100000 (26 bits)
Octal	0o240677140
Hexadecimal	0x2837E60

Divisor Catalog (60 of 96)

1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 811 1,000 1,040 1,300 1,622 1,625 2,000 2,080 2,600 3,244 3,250 4,000 4,055 5,200 6,488 6,500 8,110 10,400 10,543 12,976 13,000 16,220 20,275 21,086 25,952 26,000 32,440

Collatz Trajectory (98 steps to reach 1)

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

42,172,000 21,086,000 10,543,000 5,271,500 2,635,750 1,317,875 3,953,626 1,976,813 5,930,440 2,965,220 1,482,610 741,305 2,223,916 1,111,958 555,979 1,667,938 833,969 2,501,908 1,250,954 625,477 1,876,432 938,216 469,108 234,554 117,277 351,832 175,916 87,958 43,979 131,938 65,969 197,908 98,954 49,477 148,432 74,216 37,108 18,554 9,277 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241

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