6,123,264

2⁸ × 3 × 7 × 17 × 67

6,123,264 has the prime decomposition 2^8 × 3 × 7 × 17 × 67. Its 5 distinct prime factors produce 144 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 3 × 7 × 17 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 20,014,848

Proper Divisor Sum 13,891,584

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6123259 ← → #6123277

Radix Representation

Decimal	6123264
Binary	10111010110111100000000 (23 bits)
Octal	0o27267400
Hexadecimal	0x5D6F00

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 67 68 84 96 102 112 119 128 134 136 168 192 201 204 224 238 256 268 272 336 357 384 402 408 448 469 476 536 544 672 714 768 804 816 896 938 952 1,072 1,088

Collatz Trajectory (64 steps to reach 1)

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

6,123,264 3,061,632 1,530,816 765,408 382,704 191,352 95,676 47,838 23,919 71,758 35,879 107,638 53,819 161,458 80,729 242,188 121,094 60,547 181,642 90,821 272,464 136,232 68,116 34,058 17,029 51,088 25,544 12,772 6,386 3,193 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5

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