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Atlas › Integer Profiles › Node 84,635,784

84,635,784

23 × 32 × 1175497
Abundant Even Composite

84,635,784 factors as 2^3 × 3^2 × 1175497. Its 24 positive divisors give a proper-divisor sum of 144,586,326, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 1175497
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 229,222,110
Proper Divisor Sum 144,586,326
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #84635783 ← → #84635813

Radix Representation

Decimal 84635784
Binary 101000010110111000010001000 (27 bits)
Octal 0o502670210
Hexadecimal 0x50B7088

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 1,175,497 2,350,994 3,526,491 4,701,988 7,052,982 9,403,976 10,579,473 14,105,964 21,158,946 28,211,928 42,317,892 84,635,784

Collatz Trajectory (223 steps to reach 1)

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

84,635,784 42,317,892 21,158,946 10,579,473 31,738,420 15,869,210 7,934,605 23,803,816 11,901,908 5,950,954 2,975,477 8,926,432 4,463,216 2,231,608 1,115,804 557,902 278,951 836,854 418,427 1,255,282 627,641 1,882,924 941,462 470,731 1,412,194 706,097 2,118,292 1,059,146 529,573 1,588,720 794,360 397,180 198,590 99,295 297,886 148,943 446,830 223,415 670,246 335,123 1,005,370 502,685 1,508,056 754,028 377,014 188,507 565,522 282,761 848,284 424,142 212,071 636,214 318,107 954,322 477,161 1,431,484 715,742 357,871 1,073,614 536,807

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