855,647

13² × 61 × 83

855,647 factors as 13^2 × 61 × 83. Its 12 positive divisors give a proper-divisor sum of 97,417, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 13^2 × 61 × 83

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 953,064

Proper Divisor Sum 97,417

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #855641 ← → #855667

Radix Representation

Decimal	855647
Binary	11010000111001011111 (20 bits)
Octal	0o3207137
Hexadecimal	0xD0E5F

Divisor Catalog (12)

1 13 61 83 169 793 1,079 5,063 10,309 14,027 65,819 855,647

Collatz Trajectory (74 steps to reach 1)

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

855,647 2,566,942 1,283,471 3,850,414 1,925,207 5,775,622 2,887,811 8,663,434 4,331,717 12,995,152 6,497,576 3,248,788 1,624,394 812,197 2,436,592 1,218,296 609,148 304,574 152,287 456,862 228,431 685,294 342,647 1,027,942 513,971 1,541,914 770,957 2,312,872 1,156,436 578,218 289,109 867,328 433,664 216,832 108,416 54,208 27,104 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151

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