7,309,436

2² × 577 × 3167

7,309,436 has the prime decomposition 2^2 × 577 × 3167. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 577 × 3167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,817,728

Proper Divisor Sum 5,508,292

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7309427 ← → #7309529

Radix Representation

Decimal	7309436
Binary	11011111000100001111100 (23 bits)
Octal	0o33704174
Hexadecimal	0x6F887C

Divisor Catalog (12)

1 2 4 577 1,154 2,308 3,167 6,334 12,668 1,827,359 3,654,718 7,309,436

Collatz Trajectory (142 steps to reach 1)

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

7,309,436 3,654,718 1,827,359 5,482,078 2,741,039 8,223,118 4,111,559 12,334,678 6,167,339 18,502,018 9,251,009 27,753,028 13,876,514 6,938,257 20,814,772 10,407,386 5,203,693 15,611,080 7,805,540 3,902,770 1,951,385 5,854,156 2,927,078 1,463,539 4,390,618 2,195,309 6,585,928 3,292,964 1,646,482 823,241 2,469,724 1,234,862 617,431 1,852,294 926,147 2,778,442 1,389,221 4,167,664 2,083,832 1,041,916 520,958 260,479 781,438 390,719 1,172,158 586,079 1,758,238 879,119 2,637,358 1,318,679 3,956,038 1,978,019 5,934,058 2,967,029 8,901,088 4,450,544 2,225,272 1,112,636 556,318 278,159

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