2,589,376

2⁶ × 40459

2,589,376 factors as 2^6 × 40459. Its 14 positive divisors give a proper-divisor sum of 2,549,044, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^6 × 40459

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 5,138,420

Proper Divisor Sum 2,549,044

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #2589359 ← → #2589397

Radix Representation

Decimal	2589376
Binary	1001111000001011000000 (22 bits)
Octal	0o11701300
Hexadecimal	0x2782C0

Divisor Catalog (14)

1 2 4 8 16 32 64 40,459 80,918 161,836 323,672 647,344 1,294,688 2,589,376

Collatz Trajectory (143 steps to reach 1)

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

2,589,376 1,294,688 647,344 323,672 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

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