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Atlas › Integer Profiles › Node 24,000,640

24,000,640

27 × 5 × 37501
Abundant Even Composite

24,000,640 factors as 2^7 × 5 × 37501. Its 32 positive divisors give a proper-divisor sum of 33,377,420, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 37501
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 57,378,060
Proper Divisor Sum 33,377,420
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #24000637 ← → #24000643

Radix Representation

Decimal 24000640
Binary 1011011100011100010000000 (25 bits)
Octal 0o133434200
Hexadecimal 0x16E3880

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 37,501 75,002 150,004 187,505 300,008 375,010 600,016 750,020 1,200,032 1,500,040 2,400,064 3,000,080 4,800,128 6,000,160 12,000,320 24,000,640

Collatz Trajectory (110 steps to reach 1)

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

24,000,640 12,000,320 6,000,160 3,000,080 1,500,040 750,020 375,010 187,505 562,516 281,258 140,629 421,888 210,944 105,472 52,736 26,368 13,184 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

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