10,015,623

3³ × 370949

10,015,623 factors as 3^3 × 370949. Its 8 positive divisors give a proper-divisor sum of 4,822,377, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3^3 × 370949

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,838,000

Proper Divisor Sum 4,822,377

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #10015609 ← → #10015627

Radix Representation

Decimal	10015623
Binary	100110001101001110000111 (24 bits)
Octal	0o46151607
Hexadecimal	0x98D387

Divisor Catalog (8)

1 3 9 27 370,949 1,112,847 3,338,541 10,015,623

Collatz Trajectory (176 steps to reach 1)

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

10,015,623 30,046,870 15,023,435 45,070,306 22,535,153 67,605,460 33,802,730 16,901,365 50,704,096 25,352,048 12,676,024 6,338,012 3,169,006 1,584,503 4,753,510 2,376,755 7,130,266 3,565,133 10,695,400 5,347,700 2,673,850 1,336,925 4,010,776 2,005,388 1,002,694 501,347 1,504,042 752,021 2,256,064 1,128,032 564,016 282,008 141,004 70,502 35,251 105,754 52,877 158,632 79,316 39,658 19,829 59,488 29,744 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768

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