3,357,867

3 × 59 × 61 × 311

3,357,867 factors as 3 × 59 × 61 × 311. Its 16 positive divisors give a proper-divisor sum of 1,284,693, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 3 × 59 × 61 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,642,560

Proper Divisor Sum 1,284,693

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3357863 ← → #3357877

Radix Representation

Decimal	3357867
Binary	1100110011110010101011 (22 bits)
Octal	0o14636253
Hexadecimal	0x333CAB

Divisor Catalog (16)

1 3 59 61 177 183 311 933 3,599 10,797 18,349 18,971 55,047 56,913 1,119,289 3,357,867

Collatz Trajectory (115 steps to reach 1)

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

3,357,867 10,073,602 5,036,801 15,110,404 7,555,202 3,777,601 11,332,804 5,666,402 2,833,201 8,499,604 4,249,802 2,124,901 6,374,704 3,187,352 1,593,676 796,838 398,419 1,195,258 597,629 1,792,888 896,444 448,222 224,111 672,334 336,167 1,008,502 504,251 1,512,754 756,377 2,269,132 1,134,566 567,283 1,701,850 850,925 2,552,776 1,276,388 638,194 319,097 957,292 478,646 239,323 717,970 358,985 1,076,956 538,478 269,239 807,718 403,859 1,211,578 605,789 1,817,368 908,684 454,342 227,171 681,514 340,757 1,022,272 511,136 255,568 127,784

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