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Atlas › Integer Profiles › Node 3,932,070

3,932,070

2 × 3 × 5 × 53 × 2473
Abundant Even Composite

3,932,070 factors as 2 × 3 × 5 × 53 × 2473. Its 32 positive divisors give a proper-divisor sum of 5,686,842, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 53 × 2473
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,618,912
Proper Divisor Sum 5,686,842
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3932063 ← → #3932077

Radix Representation

Decimal 3932070
Binary 1110111111111110100110 (22 bits)
Octal 0o16777646
Hexadecimal 0x3BFFA6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1,590 2,473 4,946 7,419 12,365 14,838 24,730 37,095 74,190 131,069 262,138 393,207 655,345 786,414 1,310,690 1,966,035 3,932,070

Collatz Trajectory (172 steps to reach 1)

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

3,932,070 1,966,035 5,898,106 2,949,053 8,847,160 4,423,580 2,211,790 1,105,895 3,317,686 1,658,843 4,976,530 2,488,265 7,464,796 3,732,398 1,866,199 5,598,598 2,799,299 8,397,898 4,198,949 12,596,848 6,298,424 3,149,212 1,574,606 787,303 2,361,910 1,180,955 3,542,866 1,771,433 5,314,300 2,657,150 1,328,575 3,985,726 1,992,863 5,978,590 2,989,295 8,967,886 4,483,943 13,451,830 6,725,915 20,177,746 10,088,873 30,266,620 15,133,310 7,566,655 22,699,966 11,349,983 34,049,950 17,024,975 51,074,926 25,537,463 76,612,390 38,306,195 114,918,586 57,459,293 172,377,880 86,188,940 43,094,470 21,547,235 64,641,706 32,320,853

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