10,695,216

2⁴ × 3 × 7 × 139 × 229

10,695,216 factors as 2^4 × 3 × 7 × 139 × 229. Its 80 positive divisors give a proper-divisor sum of 21,247,184, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 139 × 229

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 31,942,400

Proper Divisor Sum 21,247,184

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #10695199 ← → #10695221

Radix Representation

Decimal	10695216
Binary	101000110011001000110000 (24 bits)
Octal	0o50631060
Hexadecimal	0xA33230

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 168 229 278 336 417 458 556 687 834 916 973 1,112 1,374 1,603 1,668 1,832 1,946 2,224 2,748 2,919 3,206 3,336 3,664 3,892 4,809 5,496 5,838 6,412 6,672 7,784 9,618 10,992 11,676 12,824 15,568 19,236 23,352 25,648 31,831 38,472 46,704

Collatz Trajectory (158 steps to reach 1)

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

10,695,216 5,347,608 2,673,804 1,336,902 668,451 2,005,354 1,002,677 3,008,032 1,504,016 752,008 376,004 188,002 94,001 282,004 141,002 70,501 211,504 105,752 52,876 26,438 13,219 39,658 19,829 59,488 29,744 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322

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