10,006,987

10006987

10,006,987 factors as 10006987. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 10006987

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 10,006,988

Proper Divisor Sum 1

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #10006973 ← → #10007021

Radix Representation

Decimal	10006987
Binary	100110001011000111001011 (24 bits)
Octal	0o46130713
Hexadecimal	0x98B1CB

Divisor Catalog (2)

1 10,006,987

Collatz Trajectory (114 steps to reach 1)

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

10,006,987 30,020,962 15,010,481 45,031,444 22,515,722 11,257,861 33,773,584 16,886,792 8,443,396 4,221,698 2,110,849 6,332,548 3,166,274 1,583,137 4,749,412 2,374,706 1,187,353 3,562,060 1,781,030 890,515 2,671,546 1,335,773 4,007,320 2,003,660 1,001,830 500,915 1,502,746 751,373 2,254,120 1,127,060 563,530 281,765 845,296 422,648 211,324 105,662 52,831 158,494 79,247 237,742 118,871 356,614 178,307 534,922 267,461 802,384 401,192 200,596 100,298 50,149 150,448 75,224 37,612 18,806 9,403 28,210 14,105 42,316 21,158 10,579

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