4,496,973

3 × 13 × 67 × 1721

4,496,973 factors as 3 × 13 × 67 × 1721. Its 16 positive divisors give a proper-divisor sum of 2,060,403, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 3 × 13 × 67 × 1721

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,557,376

Proper Divisor Sum 2,060,403

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4496963 ← → #4497011

Radix Representation

Decimal	4496973
Binary	10001001001111001001101 (23 bits)
Octal	0o21117115
Hexadecimal	0x449E4D

Divisor Catalog (16)

1 3 13 39 67 201 871 1,721 2,613 5,163 22,373 67,119 115,307 345,921 1,498,991 4,496,973

Collatz Trajectory (110 steps to reach 1)

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

4,496,973 13,490,920 6,745,460 3,372,730 1,686,365 5,059,096 2,529,548 1,264,774 632,387 1,897,162 948,581 2,845,744 1,422,872 711,436 355,718 177,859 533,578 266,789 800,368 400,184 200,092 100,046 50,023 150,070 75,035 225,106 112,553 337,660 168,830 84,415 253,246 126,623 379,870 189,935 569,806 284,903 854,710 427,355 1,282,066 641,033 1,923,100 961,550 480,775 1,442,326 721,163 2,163,490 1,081,745 3,245,236 1,622,618 811,309 2,433,928 1,216,964 608,482 304,241 912,724 456,362 228,181 684,544 342,272 171,136

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