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5,546,430

2 × 32 × 5 × 61627
Abundant Even Composite

5,546,430 factors as 2 × 3^2 × 5 × 61627. Its 24 positive divisors give a proper-divisor sum of 8,874,522, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 61627
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,420,952
Proper Divisor Sum 8,874,522
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5546419 ← → #5546459

Radix Representation

Decimal 5546430
Binary 10101001010000110111110 (23 bits)
Octal 0o25120676
Hexadecimal 0x54A1BE

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 61,627 123,254 184,881 308,135 369,762 554,643 616,270 924,405 1,109,286 1,848,810 2,773,215 5,546,430

Collatz Trajectory (188 steps to reach 1)

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

5,546,430 2,773,215 8,319,646 4,159,823 12,479,470 6,239,735 18,719,206 9,359,603 28,078,810 14,039,405 42,118,216 21,059,108 10,529,554 5,264,777 15,794,332 7,897,166 3,948,583 11,845,750 5,922,875 17,768,626 8,884,313 26,652,940 13,326,470 6,663,235 19,989,706 9,994,853 29,984,560 14,992,280 7,496,140 3,748,070 1,874,035 5,622,106 2,811,053 8,433,160 4,216,580 2,108,290 1,054,145 3,162,436 1,581,218 790,609 2,371,828 1,185,914 592,957 1,778,872 889,436 444,718 222,359 667,078 333,539 1,000,618 500,309 1,500,928 750,464 375,232 187,616 93,808 46,904 23,452 11,726 5,863

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