λ
Ratio Atlas

9,471,405

3 × 5 × 19 × 167 × 199
Deficient Odd Composite

9,471,405 factors as 3 × 5 × 19 × 167 × 199. Its 32 positive divisors give a proper-divisor sum of 6,656,595, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 167 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,128,000
Proper Divisor Sum 6,656,595
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9471403 ← → #9471437

Radix Representation

Decimal 9471405
Binary 100100001000010110101101 (24 bits)
Octal 0o44102655
Hexadecimal 0x9085AD

Divisor Catalog (32)

1 3 5 15 19 57 95 167 199 285 501 597 835 995 2,505 2,985 3,173 3,781 9,519 11,343 15,865 18,905 33,233 47,595 56,715 99,699 166,165 498,495 631,427 1,894,281 3,157,135 9,471,405

Collatz Trajectory (88 steps to reach 1)

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

9,471,405 28,414,216 14,207,108 7,103,554 3,551,777 10,655,332 5,327,666 2,663,833 7,991,500 3,995,750 1,997,875 5,993,626 2,996,813 8,990,440 4,495,220 2,247,610 1,123,805 3,371,416 1,685,708 842,854 421,427 1,264,282 632,141 1,896,424 948,212 474,106 237,053 711,160 355,580 177,790 88,895 266,686 133,343 400,030 200,015 600,046 300,023 900,070 450,035 1,350,106 675,053 2,025,160 1,012,580 506,290 253,145 759,436 379,718 189,859 569,578 284,789 854,368 427,184 213,592 106,796 53,398 26,699 80,098 40,049 120,148 60,074

More profiles

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