10,000,348

2² × 2500087

10,000,348 factors as 2^2 × 2500087. Its 6 positive divisors give a proper-divisor sum of 7,500,268, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 2500087

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 17,500,616

Proper Divisor Sum 7,500,268

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #10000339 ← → #10000349

Radix Representation

Decimal	10000348
Binary	100110001001011111011100 (24 bits)
Octal	0o46113734
Hexadecimal	0x9897DC

Divisor Catalog (6)

1 2 4 2,500,087 5,000,174 10,000,348

Collatz Trajectory (137 steps to reach 1)

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

10,000,348 5,000,174 2,500,087 7,500,262 3,750,131 11,250,394 5,625,197 16,875,592 8,437,796 4,218,898 2,109,449 6,328,348 3,164,174 1,582,087 4,746,262 2,373,131 7,119,394 3,559,697 10,679,092 5,339,546 2,669,773 8,009,320 4,004,660 2,002,330 1,001,165 3,003,496 1,501,748 750,874 375,437 1,126,312 563,156 281,578 140,789 422,368 211,184 105,592 52,796 26,398 13,199 39,598 19,799 59,398 29,699 89,098 44,549 133,648 66,824 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574

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