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10,434,880

26 × 5 × 32609
Abundant Even Composite

10,434,880 factors as 2^6 × 5 × 32609. Its 28 positive divisors give a proper-divisor sum of 14,413,940, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 32609
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 24,848,820
Proper Divisor Sum 14,413,940
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #10434877 ← → #10434881

Radix Representation

Decimal 10434880
Binary 100111110011100101000000 (24 bits)
Octal 0o47634500
Hexadecimal 0x9F3940

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 32,609 65,218 130,436 163,045 260,872 326,090 521,744 652,180 1,043,488 1,304,360 2,086,976 2,608,720 5,217,440 10,434,880

Collatz Trajectory (83 steps to reach 1)

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

10,434,880 5,217,440 2,608,720 1,304,360 652,180 326,090 163,045 489,136 244,568 122,284 61,142 30,571 91,714 45,857 137,572 68,786 34,393 103,180 51,590 25,795 77,386 38,693 116,080 58,040 29,020 14,510 7,255 21,766 10,883 32,650 16,325 48,976 24,488 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308

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