6,345,672

2³ × 3 × 264403

6,345,672 factors as 2^3 × 3 × 264403. Its 16 positive divisors give a proper-divisor sum of 9,518,568, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 264403

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,864,240

Proper Divisor Sum 9,518,568

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6345659 ← → #6345673

Radix Representation

Decimal	6345672
Binary	11000001101001111001000 (23 bits)
Octal	0o30151710
Hexadecimal	0x60D3C8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 264,403 528,806 793,209 1,057,612 1,586,418 2,115,224 3,172,836 6,345,672

Collatz Trajectory (103 steps to reach 1)

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

6,345,672 3,172,836 1,586,418 793,209 2,379,628 1,189,814 594,907 1,784,722 892,361 2,677,084 1,338,542 669,271 2,007,814 1,003,907 3,011,722 1,505,861 4,517,584 2,258,792 1,129,396 564,698 282,349 847,048 423,524 211,762 105,881 317,644 158,822 79,411 238,234 119,117 357,352 178,676 89,338 44,669 134,008 67,004 33,502 16,751 50,254 25,127 75,382 37,691 113,074 56,537 169,612 84,806 42,403 127,210 63,605 190,816 95,408 47,704 23,852 11,926 5,963 17,890 8,945 26,836 13,418 6,709

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