8,043,759

3³ × 29 × 10273

8,043,759 factors as 3^3 × 29 × 10273. Its 16 positive divisors give a proper-divisor sum of 4,285,041, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3^3 × 29 × 10273

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,328,800

Proper Divisor Sum 4,285,041

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8043743 ← → #8043769

Radix Representation

Decimal	8043759
Binary	11110101011110011101111 (23 bits)
Octal	0o36536357
Hexadecimal	0x7ABCEF

Divisor Catalog (16)

1 3 9 27 29 87 261 783 10,273 30,819 92,457 277,371 297,917 893,751 2,681,253 8,043,759

Collatz Trajectory (142 steps to reach 1)

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

8,043,759 24,131,278 12,065,639 36,196,918 18,098,459 54,295,378 27,147,689 81,443,068 40,721,534 20,360,767 61,082,302 30,541,151 91,623,454 45,811,727 137,435,182 68,717,591 206,152,774 103,076,387 309,229,162 154,614,581 463,843,744 231,921,872 115,960,936 57,980,468 28,990,234 14,495,117 43,485,352 21,742,676 10,871,338 5,435,669 16,307,008 8,153,504 4,076,752 2,038,376 1,019,188 509,594 254,797 764,392 382,196 191,098 95,549 286,648 143,324 71,662 35,831 107,494 53,747 161,242 80,621 241,864 120,932 60,466 30,233 90,700 45,350 22,675 68,026 34,013 102,040 51,020

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