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10,162,412

22 × 13 × 23 × 29 × 293
Abundant Even Composite

10,162,412 factors as 2^2 × 13 × 23 × 29 × 293. Its 48 positive divisors give a proper-divisor sum of 10,582,228, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 29 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,744,640
Proper Divisor Sum 10,582,228
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #10162409 ← → #10162433

Radix Representation

Decimal 10162412
Binary 100110110001000011101100 (24 bits)
Octal 0o46610354
Hexadecimal 0x9B10EC

Divisor Catalog (48)

1 2 4 13 23 26 29 46 52 58 92 116 293 299 377 586 598 667 754 1,172 1,196 1,334 1,508 2,668 3,809 6,739 7,618 8,497 8,671 13,478 15,236 16,994 17,342 26,956 33,988 34,684 87,607 110,461 175,214 195,431 220,922 350,428 390,862 441,844 781,724 2,540,603 5,081,206 10,162,412

Collatz Trajectory (83 steps to reach 1)

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

10,162,412 5,081,206 2,540,603 7,621,810 3,810,905 11,432,716 5,716,358 2,858,179 8,574,538 4,287,269 12,861,808 6,430,904 3,215,452 1,607,726 803,863 2,411,590 1,205,795 3,617,386 1,808,693 5,426,080 2,713,040 1,356,520 678,260 339,130 169,565 508,696 254,348 127,174 63,587 190,762 95,381 286,144 143,072 71,536 35,768 17,884 8,942 4,471 13,414 6,707 20,122 10,061 30,184 15,092 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792

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