8,087,261

7 × 13 × 181 × 491

8,087,261 factors as 7 × 13 × 181 × 491. Its 16 positive divisors give a proper-divisor sum of 1,941,667, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 7 × 13 × 181 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,028,928

Proper Divisor Sum 1,941,667

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8087239 ← → #8087263

Radix Representation

Decimal	8087261
Binary	11110110110011011011101 (23 bits)
Octal	0o36663335
Hexadecimal	0x7B66DD

Divisor Catalog (16)

1 7 13 91 181 491 1,267 2,353 3,437 6,383 16,471 44,681 88,871 622,097 1,155,323 8,087,261

Collatz Trajectory (85 steps to reach 1)

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

8,087,261 24,261,784 12,130,892 6,065,446 3,032,723 9,098,170 4,549,085 13,647,256 6,823,628 3,411,814 1,705,907 5,117,722 2,558,861 7,676,584 3,838,292 1,919,146 959,573 2,878,720 1,439,360 719,680 359,840 179,920 89,960 44,980 22,490 11,245 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426

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