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Atlas › Integer Profiles › Node 10,004,944

10,004,944

24 × 19 × 32911
Abundant Even Composite

10,004,944 factors as 2^4 × 19 × 32911. Its 20 positive divisors give a proper-divisor sum of 10,400,496, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 32911
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 20,405,440
Proper Divisor Sum 10,400,496
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #10004941 ← → #10004947

Radix Representation

Decimal 10004944
Binary 100110001010100111010000 (24 bits)
Octal 0o46124720
Hexadecimal 0x98A9D0

Divisor Catalog (20)

1 2 4 8 16 19 38 76 152 304 32,911 65,822 131,644 263,288 526,576 625,309 1,250,618 2,501,236 5,002,472 10,004,944

Collatz Trajectory (176 steps to reach 1)

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

10,004,944 5,002,472 2,501,236 1,250,618 625,309 1,875,928 937,964 468,982 234,491 703,474 351,737 1,055,212 527,606 263,803 791,410 395,705 1,187,116 593,558 296,779 890,338 445,169 1,335,508 667,754 333,877 1,001,632 500,816 250,408 125,204 62,602 31,301 93,904 46,952 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768

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