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Atlas › Integer Profiles › Node 1,815,372

1,815,372

22 × 34 × 13 × 431
Abundant Even Composite

1,815,372 factors as 2^2 × 3^4 × 13 × 431. Its 60 positive divisors give a proper-divisor sum of 3,307,284, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 13 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 5,122,656
Proper Divisor Sum 3,307,284
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1815361 ← → #1815377

Radix Representation

Decimal 1815372
Binary 110111011001101001100 (21 bits)
Octal 0o6731514
Hexadecimal 0x1BB34C

Divisor Catalog (60)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 431 468 702 862 1,053 1,293 1,404 1,724 2,106 2,586 3,879 4,212 5,172 5,603 7,758 11,206 11,637 15,516 16,809 22,412 23,274 33,618 34,911 46,548 50,427 67,236 69,822 100,854 139,644 151,281 201,708 302,562 453,843 605,124 907,686 1,815,372

Collatz Trajectory (127 steps to reach 1)

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

1,815,372 907,686 453,843 1,361,530 680,765 2,042,296 1,021,148 510,574 255,287 765,862 382,931 1,148,794 574,397 1,723,192 861,596 430,798 215,399 646,198 323,099 969,298 484,649 1,453,948 726,974 363,487 1,090,462 545,231 1,635,694 817,847 2,453,542 1,226,771 3,680,314 1,840,157 5,520,472 2,760,236 1,380,118 690,059 2,070,178 1,035,089 3,105,268 1,552,634 776,317 2,328,952 1,164,476 582,238 291,119 873,358 436,679 1,310,038 655,019 1,965,058 982,529 2,947,588 1,473,794 736,897 2,210,692 1,105,346 552,673 1,658,020 829,010 414,505

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