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5,778,920

23 × 5 × 7 × 20639
Abundant Even Composite

5,778,920 factors as 2^3 × 5 × 7 × 20639. Its 32 positive divisors give a proper-divisor sum of 9,081,880, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 20639
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,860,800
Proper Divisor Sum 9,081,880
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5778893 ← → #5778931

Radix Representation

Decimal 5778920
Binary 10110000010110111101000 (23 bits)
Octal 0o26026750
Hexadecimal 0x582DE8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 20,639 41,278 82,556 103,195 144,473 165,112 206,390 288,946 412,780 577,892 722,365 825,560 1,155,784 1,444,730 2,889,460 5,778,920

Collatz Trajectory (214 steps to reach 1)

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

5,778,920 2,889,460 1,444,730 722,365 2,167,096 1,083,548 541,774 270,887 812,662 406,331 1,218,994 609,497 1,828,492 914,246 457,123 1,371,370 685,685 2,057,056 1,028,528 514,264 257,132 128,566 64,283 192,850 96,425 289,276 144,638 72,319 216,958 108,479 325,438 162,719 488,158 244,079 732,238 366,119 1,098,358 549,179 1,647,538 823,769 2,471,308 1,235,654 617,827 1,853,482 926,741 2,780,224 1,390,112 695,056 347,528 173,764 86,882 43,441 130,324 65,162 32,581 97,744 48,872 24,436 12,218 6,109

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