7,349,436

2² × 3² × 204151

7,349,436 has the prime decomposition 2^2 × 3^2 × 204151. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 204151

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 18,577,832

Proper Divisor Sum 11,228,396

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7349413 ← → #7349471

Radix Representation

Decimal	7349436
Binary	11100000010010010111100 (23 bits)
Octal	0o34022274
Hexadecimal	0x7024BC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 204,151 408,302 612,453 816,604 1,224,906 1,837,359 2,449,812 3,674,718 7,349,436

Collatz Trajectory (204 steps to reach 1)

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

7,349,436 3,674,718 1,837,359 5,512,078 2,756,039 8,268,118 4,134,059 12,402,178 6,201,089 18,603,268 9,301,634 4,650,817 13,952,452 6,976,226 3,488,113 10,464,340 5,232,170 2,616,085 7,848,256 3,924,128 1,962,064 981,032 490,516 245,258 122,629 367,888 183,944 91,972 45,986 22,993 68,980 34,490 17,245 51,736 25,868 12,934 6,467 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654

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