10,004,406

2 × 3 × 1667401

10,004,406 factors as 2 × 3 × 1667401. Its 8 positive divisors give a proper-divisor sum of 10,004,418, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 3 × 1667401

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 20,008,824

Proper Divisor Sum 10,004,418

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #10004399 ← → #10004411

Radix Representation

Decimal	10004406
Binary	100110001010011110110110 (24 bits)
Octal	0o46123666
Hexadecimal	0x98A7B6

Divisor Catalog (8)

1 2 3 6 1,667,401 3,334,802 5,002,203 10,004,406

Collatz Trajectory (114 steps to reach 1)

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

10,004,406 5,002,203 15,006,610 7,503,305 22,509,916 11,254,958 5,627,479 16,882,438 8,441,219 25,323,658 12,661,829 37,985,488 18,992,744 9,496,372 4,748,186 2,374,093 7,122,280 3,561,140 1,780,570 890,285 2,670,856 1,335,428 667,714 333,857 1,001,572 500,786 250,393 751,180 375,590 187,795 563,386 281,693 845,080 422,540 211,270 105,635 316,906 158,453 475,360 237,680 118,840 59,420 29,710 14,855 44,566 22,283 66,850 33,425 100,276 50,138 25,069 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577

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