9,304,971

3 × 13² × 18353

9,304,971 factors as 3 × 13^2 × 18353. Its 12 positive divisors give a proper-divisor sum of 4,130,157, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 18353

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,435,128

Proper Divisor Sum 4,130,157

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9304963 ← → #9304973

Radix Representation

Decimal	9304971
Binary	100011011111101110001011 (24 bits)
Octal	0o43375613
Hexadecimal	0x8DFB8B

Divisor Catalog (12)

1 3 13 39 169 507 18,353 55,059 238,589 715,767 3,101,657 9,304,971

Collatz Trajectory (106 steps to reach 1)

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

9,304,971 27,914,914 13,957,457 41,872,372 20,936,186 10,468,093 31,404,280 15,702,140 7,851,070 3,925,535 11,776,606 5,888,303 17,664,910 8,832,455 26,497,366 13,248,683 39,746,050 19,873,025 59,619,076 29,809,538 14,904,769 44,714,308 22,357,154 11,178,577 33,535,732 16,767,866 8,383,933 25,151,800 12,575,900 6,287,950 3,143,975 9,431,926 4,715,963 14,147,890 7,073,945 21,221,836 10,610,918 5,305,459 15,916,378 7,958,189 23,874,568 11,937,284 5,968,642 2,984,321 8,952,964 4,476,482 2,238,241 6,714,724 3,357,362 1,678,681 5,036,044 2,518,022 1,259,011 3,777,034 1,888,517 5,665,552 2,832,776 1,416,388 708,194 354,097

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