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Atlas › Integer Profiles › Node 10,036,146

10,036,146

2 × 3 × 29 × 57679
Abundant Even Composite

10,036,146 factors as 2 × 3 × 29 × 57679. Its 16 positive divisors give a proper-divisor sum of 10,728,654, so this integer is abundant. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 57679
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,764,800
Proper Divisor Sum 10,728,654
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10036141 ← → #10036151

Radix Representation

Decimal 10036146
Binary 100110010010001110110010 (24 bits)
Octal 0o46221662
Hexadecimal 0x9923B2

Divisor Catalog (16)

1 2 3 6 29 58 87 174 57,679 115,358 173,037 346,074 1,672,691 3,345,382 5,018,073 10,036,146

Collatz Trajectory (57 steps to reach 1)

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

10,036,146 5,018,073 15,054,220 7,527,110 3,763,555 11,290,666 5,645,333 16,936,000 8,468,000 4,234,000 2,117,000 1,058,500 529,250 264,625 793,876 396,938 198,469 595,408 297,704 148,852 74,426 37,213 111,640 55,820 27,910 13,955 41,866 20,933 62,800 31,400 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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