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Atlas › Integer Profiles › Node 31,258,386

31,258,386

2 × 34 × 157 × 1229
Abundant Even Composite

31,258,386 factors as 2 × 3^4 × 157 × 1229. Its 40 positive divisors give a proper-divisor sum of 39,287,034, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 157 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 70,545,420
Proper Divisor Sum 39,287,034
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #31258379 ← → #31258391

Radix Representation

Decimal 31258386
Binary 1110111001111011100010010 (25 bits)
Octal 0o167173422
Hexadecimal 0x1DCF712

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 157 162 314 471 942 1,229 1,413 2,458 2,826 3,687 4,239 7,374 8,478 11,061 12,717 22,122 25,434 33,183 66,366 99,549 192,953 199,098 385,906 578,859 1,157,718 1,736,577 3,473,154 5,209,731 10,419,462 15,629,193 31,258,386

Collatz Trajectory (263 steps to reach 1)

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

31,258,386 15,629,193 46,887,580 23,443,790 11,721,895 35,165,686 17,582,843 52,748,530 26,374,265 79,122,796 39,561,398 19,780,699 59,342,098 29,671,049 89,013,148 44,506,574 22,253,287 66,759,862 33,379,931 100,139,794 50,069,897 150,209,692 75,104,846 37,552,423 112,657,270 56,328,635 168,985,906 84,492,953 253,478,860 126,739,430 63,369,715 190,109,146 95,054,573 285,163,720 142,581,860 71,290,930 35,645,465 106,936,396 53,468,198 26,734,099 80,202,298 40,101,149 120,303,448 60,151,724 30,075,862 15,037,931 45,113,794 22,556,897 67,670,692 33,835,346 16,917,673 50,753,020 25,376,510 12,688,255 38,064,766 19,032,383 57,097,150 28,548,575 85,645,726 42,822,863

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