10,005,964

2² × 73 × 34267

10,005,964 factors as 2^2 × 73 × 34267. Its 12 positive divisors give a proper-divisor sum of 7,744,860, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 73 × 34267

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,750,824

Proper Divisor Sum 7,744,860

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #10005953 ← → #10005967

Radix Representation

Decimal	10005964
Binary	100110001010110111001100 (24 bits)
Octal	0o46126714
Hexadecimal	0x98ADCC

Divisor Catalog (12)

1 2 4 73 146 292 34,267 68,534 137,068 2,501,491 5,002,982 10,005,964

Collatz Trajectory (176 steps to reach 1)

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

10,005,964 5,002,982 2,501,491 7,504,474 3,752,237 11,256,712 5,628,356 2,814,178 1,407,089 4,221,268 2,110,634 1,055,317 3,165,952 1,582,976 791,488 395,744 197,872 98,936 49,468 24,734 12,367 37,102 18,551 55,654 27,827 83,482 41,741 125,224 62,612 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 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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