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10,244,568

23 × 3 × 23 × 67 × 277
Abundant Even Composite

10,244,568 factors as 2^3 × 3 × 23 × 67 × 277. Its 64 positive divisors give a proper-divisor sum of 16,977,192, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 67 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 27,221,760
Proper Divisor Sum 16,977,192
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #10244567 ← → #10244581

Radix Representation

Decimal 10244568
Binary 100111000101000111011000 (24 bits)
Octal 0o47050730
Hexadecimal 0x9C51D8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 23 24 46 67 69 92 134 138 184 201 268 276 277 402 536 552 554 804 831 1,108 1,541 1,608 1,662 2,216 3,082 3,324 4,623 6,164 6,371 6,648 9,246 12,328 12,742 18,492 18,559 19,113 25,484 36,984 37,118 38,226 50,968 55,677 74,236 76,452 111,354 148,472 152,904 222,708 426,857 445,416 853,714 1,280,571 1,707,428

Collatz Trajectory (127 steps to reach 1)

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

10,244,568 5,122,284 2,561,142 1,280,571 3,841,714 1,920,857 5,762,572 2,881,286 1,440,643 4,321,930 2,160,965 6,482,896 3,241,448 1,620,724 810,362 405,181 1,215,544 607,772 303,886 151,943 455,830 227,915 683,746 341,873 1,025,620 512,810 256,405 769,216 384,608 192,304 96,152 48,076 24,038 12,019 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834

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