2,431,389

3 × 29 × 27947

2,431,389 factors as 3 × 29 × 27947. Its 8 positive divisors give a proper-divisor sum of 922,371, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 3 × 29 × 27947

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,353,760

Proper Divisor Sum 922,371

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2431367 ← → #2431393

Radix Representation

Decimal	2431389
Binary	1001010001100110011101 (22 bits)
Octal	0o11214635
Hexadecimal	0x25199D

Divisor Catalog (8)

1 3 29 87 27,947 83,841 810,463 2,431,389

Collatz Trajectory (192 steps to reach 1)

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

2,431,389 7,294,168 3,647,084 1,823,542 911,771 2,735,314 1,367,657 4,102,972 2,051,486 1,025,743 3,077,230 1,538,615 4,615,846 2,307,923 6,923,770 3,461,885 10,385,656 5,192,828 2,596,414 1,298,207 3,894,622 1,947,311 5,841,934 2,920,967 8,762,902 4,381,451 13,144,354 6,572,177 19,716,532 9,858,266 4,929,133 14,787,400 7,393,700 3,696,850 1,848,425 5,545,276 2,772,638 1,386,319 4,158,958 2,079,479 6,238,438 3,119,219 9,357,658 4,678,829 14,036,488 7,018,244 3,509,122 1,754,561 5,263,684 2,631,842 1,315,921 3,947,764 1,973,882 986,941 2,960,824 1,480,412 740,206 370,103 1,110,310 555,155

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