2,998,382

2 × 31 × 137 × 353

2,998,382 has digital root 5. The neighboring primes are 2998381 and 2998393; its proper-divisor sum differs from the starting integer by -1,306,972.

Prime Factor Structure

Factorization String 2 × 31 × 137 × 353

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,689,792

Proper Divisor Sum 1,691,410

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #2998381 ← → #2998393

Radix Representation

Decimal	2998382
Binary	1011011100000001101110 (22 bits)
Octal	0o13340156
Hexadecimal	0x2DC06E

Divisor Catalog (16)

1 2 31 62 137 274 353 706 4,247 8,494 10,943 21,886 48,361 96,722 1,499,191 2,998,382

Collatz Trajectory (138 steps to reach 1)

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

2,998,382 1,499,191 4,497,574 2,248,787 6,746,362 3,373,181 10,119,544 5,059,772 2,529,886 1,264,943 3,794,830 1,897,415 5,692,246 2,846,123 8,538,370 4,269,185 12,807,556 6,403,778 3,201,889 9,605,668 4,802,834 2,401,417 7,204,252 3,602,126 1,801,063 5,403,190 2,701,595 8,104,786 4,052,393 12,157,180 6,078,590 3,039,295 9,117,886 4,558,943 13,676,830 6,838,415 20,515,246 10,257,623 30,772,870 15,386,435 46,159,306 23,079,653 69,238,960 34,619,480 17,309,740 8,654,870 4,327,435 12,982,306 6,491,153 19,473,460 9,736,730 4,868,365 14,605,096 7,302,548 3,651,274 1,825,637 5,476,912 2,738,456 1,369,228 684,614

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