10,007,678

2 × 5003839

10,007,678 factors as 2 × 5003839. Its 4 positive divisors give a proper-divisor sum of 5,003,842, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2 × 5003839

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 15,011,520

Proper Divisor Sum 5,003,842

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #10007659 ← → #10007681

Radix Representation

Decimal	10007678
Binary	100110001011010001111110 (24 bits)
Octal	0o46132176
Hexadecimal	0x98B47E

Divisor Catalog (4)

1 2 5,003,839 10,007,678

Collatz Trajectory (83 steps to reach 1)

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

10,007,678 5,003,839 15,011,518 7,505,759 22,517,278 11,258,639 33,775,918 16,887,959 50,663,878 25,331,939 75,995,818 37,997,909 113,993,728 56,996,864 28,498,432 14,249,216 7,124,608 3,562,304 1,781,152 890,576 445,288 222,644 111,322 55,661 166,984 83,492 41,746 20,873 62,620 31,310 15,655 46,966 23,483 70,450 35,225 105,676 52,838 26,419 79,258 39,629 118,888 59,444 29,722 14,861 44,584 22,292 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49

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