λ
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4,896,544

25 × 17 × 9001
Abundant Even Composite

4,896,544 factors as 2^5 × 17 × 9001. Its 24 positive divisors give a proper-divisor sum of 5,311,724, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 9001
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,208,268
Proper Divisor Sum 5,311,724
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4896533 ← → #4896557

Radix Representation

Decimal 4896544
Binary 10010101011011100100000 (23 bits)
Octal 0o22533440
Hexadecimal 0x4AB720

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 9,001 18,002 36,004 72,008 144,016 153,017 288,032 306,034 612,068 1,224,136 2,448,272 4,896,544

Collatz Trajectory (87 steps to reach 1)

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

4,896,544 2,448,272 1,224,136 612,068 306,034 153,017 459,052 229,526 114,763 344,290 172,145 516,436 258,218 129,109 387,328 193,664 96,832 48,416 24,208 12,104 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866

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