2,072,024

2³ × 23 × 11261

2,072,024 factors as 2^3 × 23 × 11261. Its 16 positive divisors give a proper-divisor sum of 1,982,296, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 11261

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,054,320

Proper Divisor Sum 1,982,296

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #2072023 ← → #2072029

Radix Representation

Decimal	2072024
Binary	111111001110111011000 (21 bits)
Octal	0o7716730
Hexadecimal	0x1F9DD8

Divisor Catalog (16)

1 2 4 8 23 46 92 184 11,261 22,522 45,044 90,088 259,003 518,006 1,036,012 2,072,024

Collatz Trajectory (197 steps to reach 1)

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

2,072,024 1,036,012 518,006 259,003 777,010 388,505 1,165,516 582,758 291,379 874,138 437,069 1,311,208 655,604 327,802 163,901 491,704 245,852 122,926 61,463 184,390 92,195 276,586 138,293 414,880 207,440 103,720 51,860 25,930 12,965 38,896 19,448 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194

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