10,240,772

2² × 19 × 127 × 1061

10,240,772 factors as 2^2 × 19 × 127 × 1061. Its 24 positive divisors give a proper-divisor sum of 8,790,268, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 127 × 1061

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,031,040

Proper Divisor Sum 8,790,268

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #10240771 ← → #10240781

Radix Representation

Decimal	10240772
Binary	100111000100001100000100 (24 bits)
Octal	0o47041404
Hexadecimal	0x9C4304

Divisor Catalog (24)

Collatz Trajectory (75 steps to reach 1)

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

10,240,772 5,120,386 2,560,193 7,680,580 3,840,290 1,920,145 5,760,436 2,880,218 1,440,109 4,320,328 2,160,164 1,080,082 540,041 1,620,124 810,062 405,031 1,215,094 607,547 1,822,642 911,321 2,733,964 1,366,982 683,491 2,050,474 1,025,237 3,075,712 1,537,856 768,928 384,464 192,232 96,116 48,058 24,029 72,088 36,044 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808

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