2,308,317

3 × 11² × 6359

2,308,317 factors as 3 × 11^2 × 6359. Its 12 positive divisors give a proper-divisor sum of 1,075,203, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 3 × 11^2 × 6359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,383,520

Proper Divisor Sum 1,075,203

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2308297 ← → #2308321

Radix Representation

Decimal	2308317
Binary	1000110011100011011101 (22 bits)
Octal	0o10634335
Hexadecimal	0x2338DD

Divisor Catalog (12)

1 3 11 33 121 363 6,359 19,077 69,949 209,847 769,439 2,308,317

Collatz Trajectory (210 steps to reach 1)

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

2,308,317 6,924,952 3,462,476 1,731,238 865,619 2,596,858 1,298,429 3,895,288 1,947,644 973,822 486,911 1,460,734 730,367 2,191,102 1,095,551 3,286,654 1,643,327 4,929,982 2,464,991 7,394,974 3,697,487 11,092,462 5,546,231 16,638,694 8,319,347 24,958,042 12,479,021 37,437,064 18,718,532 9,359,266 4,679,633 14,038,900 7,019,450 3,509,725 10,529,176 5,264,588 2,632,294 1,316,147 3,948,442 1,974,221 5,922,664 2,961,332 1,480,666 740,333 2,221,000 1,110,500 555,250 277,625 832,876 416,438 208,219 624,658 312,329 936,988 468,494 234,247 702,742 351,371 1,054,114 527,057

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