10,006,427

10006427

10,006,427 factors as 10006427. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 10006427

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 10,006,428

Proper Divisor Sum 1

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #10006417 ← → #10006429

Radix Representation

Decimal	10006427
Binary	100110001010111110011011 (24 bits)
Octal	0o46127633
Hexadecimal	0x98AF9B

Divisor Catalog (2)

1 10,006,427

Collatz Trajectory (83 steps to reach 1)

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

10,006,427 30,019,282 15,009,641 45,028,924 22,514,462 11,257,231 33,771,694 16,885,847 50,657,542 25,328,771 75,986,314 37,993,157 113,979,472 56,989,736 28,494,868 14,247,434 7,123,717 21,371,152 10,685,576 5,342,788 2,671,394 1,335,697 4,007,092 2,003,546 1,001,773 3,005,320 1,502,660 751,330 375,665 1,126,996 563,498 281,749 845,248 422,624 211,312 105,656 52,828 26,414 13,207 39,622 19,811 59,434 29,717 89,152 44,576 22,288 11,144 5,572 2,786 1,393 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49

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