2,682,380

2² × 5 × 71 × 1889

2,682,380 factors as 2^2 × 5 × 71 × 1889. Its 24 positive divisors give a proper-divisor sum of 3,032,980, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 71 × 1889

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,715,360

Proper Divisor Sum 3,032,980

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2682377 ← → #2682391

Radix Representation

Decimal	2682380
Binary	1010001110111000001100 (22 bits)
Octal	0o12167014
Hexadecimal	0x28EE0C

Divisor Catalog (24)

1 2 4 5 10 20 71 142 284 355 710 1,420 1,889 3,778 7,556 9,445 18,890 37,780 134,119 268,238 536,476 670,595 1,341,190 2,682,380

Collatz Trajectory (138 steps to reach 1)

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

2,682,380 1,341,190 670,595 2,011,786 1,005,893 3,017,680 1,508,840 754,420 377,210 188,605 565,816 282,908 141,454 70,727 212,182 106,091 318,274 159,137 477,412 238,706 119,353 358,060 179,030 89,515 268,546 134,273 402,820 201,410 100,705 302,116 151,058 75,529 226,588 113,294 56,647 169,942 84,971 254,914 127,457 382,372 191,186 95,593 286,780 143,390 71,695 215,086 107,543 322,630 161,315 483,946 241,973 725,920 362,960 181,480 90,740 45,370 22,685 68,056 34,028 17,014

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