9,825,629

11 × 43 × 20773

9,825,629 is odd and not a perfect square. Its factorization is 11 × 43 × 20773 and its 8 divisors sum to 10,968,672.

Prime Factor Structure

Factorization String 11 × 43 × 20773

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,968,672

Proper Divisor Sum 1,143,043

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9825611 ← → #9825631

Radix Representation

Decimal	9825629
Binary	100101011110110101011101 (24 bits)
Octal	0o45366535
Hexadecimal	0x95ED5D

Divisor Catalog (8)

1 11 43 473 20,773 228,503 893,239 9,825,629

Collatz Trajectory (145 steps to reach 1)

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

9,825,629 29,476,888 14,738,444 7,369,222 3,684,611 11,053,834 5,526,917 16,580,752 8,290,376 4,145,188 2,072,594 1,036,297 3,108,892 1,554,446 777,223 2,331,670 1,165,835 3,497,506 1,748,753 5,246,260 2,623,130 1,311,565 3,934,696 1,967,348 983,674 491,837 1,475,512 737,756 368,878 184,439 553,318 276,659 829,978 414,989 1,244,968 622,484 311,242 155,621 466,864 233,432 116,716 58,358 29,179 87,538 43,769 131,308 65,654 32,827 98,482 49,241 147,724 73,862 36,931 110,794 55,397 166,192 83,096 41,548 20,774 10,387

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