2,138,013

3² × 19 × 12503

2,138,013 factors as 3^2 × 19 × 12503. Its 12 positive divisors give a proper-divisor sum of 1,113,027, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 12503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,251,040

Proper Divisor Sum 1,113,027

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2137999 ← → #2138029

Radix Representation

Decimal	2138013
Binary	1000001001111110011101 (22 bits)
Octal	0o10117635
Hexadecimal	0x209F9D

Divisor Catalog (12)

1 3 9 19 57 171 12,503 37,509 112,527 237,557 712,671 2,138,013

Collatz Trajectory (122 steps to reach 1)

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

2,138,013 6,414,040 3,207,020 1,603,510 801,755 2,405,266 1,202,633 3,607,900 1,803,950 901,975 2,705,926 1,352,963 4,058,890 2,029,445 6,088,336 3,044,168 1,522,084 761,042 380,521 1,141,564 570,782 285,391 856,174 428,087 1,284,262 642,131 1,926,394 963,197 2,889,592 1,444,796 722,398 361,199 1,083,598 541,799 1,625,398 812,699 2,438,098 1,219,049 3,657,148 1,828,574 914,287 2,742,862 1,371,431 4,114,294 2,057,147 6,171,442 3,085,721 9,257,164 4,628,582 2,314,291 6,942,874 3,471,437 10,414,312 5,207,156 2,603,578 1,301,789 3,905,368 1,952,684 976,342 488,171

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