10,001,409

3 × 11 × 303073

10,001,409 factors as 3 × 11 × 303073. Its 8 positive divisors give a proper-divisor sum of 4,546,143, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3 × 11 × 303073

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,547,552

Proper Divisor Sum 4,546,143

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #10001401 ← → #10001419

Radix Representation

Decimal	10001409
Binary	100110001001110000000001 (24 bits)
Octal	0o46116001
Hexadecimal	0x989C01

Divisor Catalog (8)

1 3 11 33 303,073 909,219 3,333,803 10,001,409

Collatz Trajectory (207 steps to reach 1)

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

10,001,409 30,004,228 15,002,114 7,501,057 22,503,172 11,251,586 5,625,793 16,877,380 8,438,690 4,219,345 12,658,036 6,329,018 3,164,509 9,493,528 4,746,764 2,373,382 1,186,691 3,560,074 1,780,037 5,340,112 2,670,056 1,335,028 667,514 333,757 1,001,272 500,636 250,318 125,159 375,478 187,739 563,218 281,609 844,828 422,414 211,207 633,622 316,811 950,434 475,217 1,425,652 712,826 356,413 1,069,240 534,620 267,310 133,655 400,966 200,483 601,450 300,725 902,176 451,088 225,544 112,772 56,386 28,193 84,580 42,290 21,145 63,436

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