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Atlas › Integer Profiles › Node 10,841,800

10,841,800

23 × 52 × 151 × 359
Abundant Even Composite

10,841,800 factors as 2^3 × 5^2 × 151 × 359. Its 48 positive divisors give a proper-divisor sum of 14,603,000, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 151 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,444,800
Proper Divisor Sum 14,603,000
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #10841797 ← → #10841821

Radix Representation

Decimal 10841800
Binary 101001010110111011001000 (24 bits)
Octal 0o51267310
Hexadecimal 0xA56EC8

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 100 151 200 302 359 604 718 755 1,208 1,436 1,510 1,795 2,872 3,020 3,590 3,775 6,040 7,180 7,550 8,975 14,360 15,100 17,950 30,200 35,900 54,209 71,800 108,418 216,836 271,045 433,672 542,090 1,084,180 1,355,225 2,168,360 2,710,450 5,420,900 10,841,800

Collatz Trajectory (158 steps to reach 1)

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

10,841,800 5,420,900 2,710,450 1,355,225 4,065,676 2,032,838 1,016,419 3,049,258 1,524,629 4,573,888 2,286,944 1,143,472 571,736 285,868 142,934 71,467 214,402 107,201 321,604 160,802 80,401 241,204 120,602 60,301 180,904 90,452 45,226 22,613 67,840 33,920 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323

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