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5,779,520

26 × 5 × 18061
Abundant Even Composite

5,779,520 factors as 2^6 × 5 × 18061. Its 28 positive divisors give a proper-divisor sum of 7,983,724, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 18061
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 13,763,244
Proper Divisor Sum 7,983,724
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5779517 ← → #5779537

Radix Representation

Decimal 5779520
Binary 10110000011000001000000 (23 bits)
Octal 0o26030100
Hexadecimal 0x583040

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 18,061 36,122 72,244 90,305 144,488 180,610 288,976 361,220 577,952 722,440 1,155,904 1,444,880 2,889,760 5,779,520

Collatz Trajectory (214 steps to reach 1)

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

5,779,520 2,889,760 1,444,880 722,440 361,220 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113

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