10,000,342

2 × 11 × 251 × 1811

10,000,342 factors as 2 × 11 × 251 × 1811. Its 16 positive divisors give a proper-divisor sum of 6,438,122, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 11 × 251 × 1811

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,438,464

Proper Divisor Sum 6,438,122

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #10000339 ← → #10000349

Radix Representation

Decimal	10000342
Binary	100110001001011111010110 (24 bits)
Octal	0o46113726
Hexadecimal	0x9897D6

Divisor Catalog (16)

1 2 11 22 251 502 1,811 2,761 3,622 5,522 19,921 39,842 454,561 909,122 5,000,171 10,000,342

Collatz Trajectory (137 steps to reach 1)

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

10,000,342 5,000,171 15,000,514 7,500,257 22,500,772 11,250,386 5,625,193 16,875,580 8,437,790 4,218,895 12,656,686 6,328,343 18,985,030 9,492,515 28,477,546 14,238,773 42,716,320 21,358,160 10,679,080 5,339,540 2,669,770 1,334,885 4,004,656 2,002,328 1,001,164 500,582 250,291 750,874 375,437 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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