2,112,331

13² × 29 × 431

2,112,331 factors as 13^2 × 29 × 431. Its 12 positive divisors give a proper-divisor sum of 259,349, so this integer is deficient. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 13^2 × 29 × 431

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,371,680

Proper Divisor Sum 259,349

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #2112329 ← → #2112337

Radix Representation

Decimal	2112331
Binary	1000000011101101001011 (22 bits)
Octal	0o10035513
Hexadecimal	0x203B4B

Divisor Catalog (12)

1 13 29 169 377 431 4,901 5,603 12,499 72,839 162,487 2,112,331

Collatz Trajectory (78 steps to reach 1)

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

2,112,331 6,336,994 3,168,497 9,505,492 4,752,746 2,376,373 7,129,120 3,564,560 1,782,280 891,140 445,570 222,785 668,356 334,178 167,089 501,268 250,634 125,317 375,952 187,976 93,988 46,994 23,497 70,492 35,246 17,623 52,870 26,435 79,306 39,653 118,960 59,480 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373

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