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Atlas › Integer Profiles › Node 67,083,920

67,083,920

24 × 5 × 83 × 10103
Abundant Even Composite

67,083,920 factors as 2^4 × 5 × 83 × 10103. Its 40 positive divisors give a proper-divisor sum of 90,780,976, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 83 × 10103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 157,864,896
Proper Divisor Sum 90,780,976
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #67083901 ← → #67083937

Radix Representation

Decimal 67083920
Binary 11111111111001111010010000 (26 bits)
Octal 0o377717220
Hexadecimal 0x3FF9E90

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1,328 1,660 3,320 6,640 10,103 20,206 40,412 50,515 80,824 101,030 161,648 202,060 404,120 808,240 838,549 1,677,098 3,354,196 4,192,745 6,708,392 8,385,490 13,416,784 16,770,980 33,541,960 67,083,920

Collatz Trajectory (184 steps to reach 1)

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

67,083,920 33,541,960 16,770,980 8,385,490 4,192,745 12,578,236 6,289,118 3,144,559 9,433,678 4,716,839 14,150,518 7,075,259 21,225,778 10,612,889 31,838,668 15,919,334 7,959,667 23,879,002 11,939,501 35,818,504 17,909,252 8,954,626 4,477,313 13,431,940 6,715,970 3,357,985 10,073,956 5,036,978 2,518,489 7,555,468 3,777,734 1,888,867 5,666,602 2,833,301 8,499,904 4,249,952 2,124,976 1,062,488 531,244 265,622 132,811 398,434 199,217 597,652 298,826 149,413 448,240 224,120 112,060 56,030 28,015 84,046 42,023 126,070 63,035 189,106 94,553 283,660 141,830 70,915

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