8,584,405

5 × 17 × 23 × 4391

8,584,405 factors as 5 × 17 × 23 × 4391. Its 16 positive divisors give a proper-divisor sum of 2,799,659, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 5 × 17 × 23 × 4391

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,384,064

Proper Divisor Sum 2,799,659

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8584399 ← → #8584417

Radix Representation

Decimal	8584405
Binary	100000101111110011010101 (24 bits)
Octal	0o40576325
Hexadecimal	0x82FCD5

Divisor Catalog (16)

1 5 17 23 85 115 391 1,955 4,391 21,955 74,647 100,993 373,235 504,965 1,716,881 8,584,405

Collatz Trajectory (119 steps to reach 1)

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

8,584,405 25,753,216 12,876,608 6,438,304 3,219,152 1,609,576 804,788 402,394 201,197 603,592 301,796 150,898 75,449 226,348 113,174 56,587 169,762 84,881 254,644 127,322 63,661 190,984 95,492 47,746 23,873 71,620 35,810 17,905 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516

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