λ
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Atlas › Integer Profiles › Node 93,774,564

93,774,564

22 × 33 × 13 × 66791
Abundant Even Composite

93,774,564 factors as 2^2 × 3^3 × 13 × 66791. Its 48 positive divisors give a proper-divisor sum of 168,050,076, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 66791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 261,824,640
Proper Divisor Sum 168,050,076
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #93774563 ← → #93774581

Radix Representation

Decimal 93774564
Binary 101100101101110001011100100 (27 bits)
Octal 0o545561344
Hexadecimal 0x596E2E4

Divisor Catalog (48)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1,404 66,791 133,582 200,373 267,164 400,746 601,119 801,492 868,283 1,202,238 1,736,566 1,803,357 2,404,476 2,604,849 3,473,132 3,606,714 5,209,698 7,213,428 7,814,547 10,419,396 15,629,094 23,443,641 31,258,188 46,887,282 93,774,564

Collatz Trajectory (125 steps to reach 1)

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

93,774,564 46,887,282 23,443,641 70,330,924 35,165,462 17,582,731 52,748,194 26,374,097 79,122,292 39,561,146 19,780,573 59,341,720 29,670,860 14,835,430 7,417,715 22,253,146 11,126,573 33,379,720 16,689,860 8,344,930 4,172,465 12,517,396 6,258,698 3,129,349 9,388,048 4,694,024 2,347,012 1,173,506 586,753 1,760,260 880,130 440,065 1,320,196 660,098 330,049 990,148 495,074 247,537 742,612 371,306 185,653 556,960 278,480 139,240 69,620 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142

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