6,442,168

2³ × 805271

6,442,168 factors as 2^3 × 805271. Its 8 positive divisors give a proper-divisor sum of 5,636,912, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^3 × 805271

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,079,080

Proper Divisor Sum 5,636,912

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6442153 ← → #6442169

Radix Representation

Decimal	6442168
Binary	11000100100110010111000 (23 bits)
Octal	0o30446270
Hexadecimal	0x624CB8

Divisor Catalog (8)

1 2 4 8 805,271 1,610,542 3,221,084 6,442,168

Collatz Trajectory (121 steps to reach 1)

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

6,442,168 3,221,084 1,610,542 805,271 2,415,814 1,207,907 3,623,722 1,811,861 5,435,584 2,717,792 1,358,896 679,448 339,724 169,862 84,931 254,794 127,397 382,192 191,096 95,548 47,774 23,887 71,662 35,831 107,494 53,747 161,242 80,621 241,864 120,932 60,466 30,233 90,700 45,350 22,675 68,026 34,013 102,040 51,020 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812

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