10,240,773

3 × 23 × 193 × 769

10,240,773 factors as 3 × 23 × 193 × 769. Its 16 positive divisors give a proper-divisor sum of 4,099,707, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 3 × 23 × 193 × 769

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,340,480

Proper Divisor Sum 4,099,707

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #10240771 ← → #10240781

Radix Representation

Decimal	10240773
Binary	100111000100001100000101 (24 bits)
Octal	0o47041405
Hexadecimal	0x9C4305

Divisor Catalog (16)

1 3 23 69 193 579 769 2,307 4,439 13,317 17,687 53,061 148,417 445,251 3,413,591 10,240,773

Collatz Trajectory (75 steps to reach 1)

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

10,240,773 30,722,320 15,361,160 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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