6,237,600

2⁵ × 3 × 5² × 23 × 113

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 23 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 21,373,632

Proper Divisor Sum 15,136,032

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6237599 ← → #6237629

Radix Representation

Decimal	6237600
Binary	10111110010110110100000 (23 bits)
Octal	0o27626640
Hexadecimal	0x5F2DA0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 113 115 120 138 150 160 184 200 226 230 240 276 300 339 345 368 400 452 460 480 552 565 575 600 678 690 736 800 904 920 1,104 1,130

Collatz Trajectory (165 steps to reach 1)

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

6,237,600 3,118,800 1,559,400 779,700 389,850 194,925 584,776 292,388 146,194 73,097 219,292 109,646 54,823 164,470 82,235 246,706 123,353 370,060 185,030 92,515 277,546 138,773 416,320 208,160 104,080 52,040 26,020 13,010 6,505 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31

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