2,618,384

2⁴ × 31 × 5279

2,618,384 factors as 2^4 × 31 × 5279. Its 20 positive divisors give a proper-divisor sum of 2,619,376, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 5279

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 5,237,760

Proper Divisor Sum 2,619,376

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2618347 ← → #2618387

Radix Representation

Decimal	2618384
Binary	1001111111010000010000 (22 bits)
Octal	0o11772020
Hexadecimal	0x27F410

Divisor Catalog (20)

Collatz Trajectory (143 steps to reach 1)

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

2,618,384 1,309,192 654,596 327,298 163,649 490,948 245,474 122,737 368,212 184,106 92,053 276,160 138,080 69,040 34,520 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466

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