9,759,438

2 × 3² × 13 × 179 × 233

9,759,438 has the prime decomposition 2 × 3^2 × 13 × 179 × 233. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 179 × 233

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,997,520

Proper Divisor Sum 13,238,082

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9759437 ← → #9759439

Radix Representation

Decimal	9759438
Binary	100101001110101011001110 (24 bits)
Octal	0o45165316
Hexadecimal	0x94EACE

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 78 117 179 233 234 358 466 537 699 1,074 1,398 1,611 2,097 2,327 3,029 3,222 4,194 4,654 6,058 6,981 9,087 13,962 18,174 20,943 27,261 41,707 41,886 54,522 83,414 125,121 250,242 375,363 542,191 750,726 1,084,382 1,626,573 3,253,146 4,879,719 9,759,438

Collatz Trajectory (238 steps to reach 1)

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

9,759,438 4,879,719 14,639,158 7,319,579 21,958,738 10,979,369 32,938,108 16,469,054 8,234,527 24,703,582 12,351,791 37,055,374 18,527,687 55,583,062 27,791,531 83,374,594 41,687,297 125,061,892 62,530,946 31,265,473 93,796,420 46,898,210 23,449,105 70,347,316 35,173,658 17,586,829 52,760,488 26,380,244 13,190,122 6,595,061 19,785,184 9,892,592 4,946,296 2,473,148 1,236,574 618,287 1,854,862 927,431 2,782,294 1,391,147 4,173,442 2,086,721 6,260,164 3,130,082 1,565,041 4,695,124 2,347,562 1,173,781 3,521,344 1,760,672 880,336 440,168 220,084 110,042 55,021 165,064 82,532 41,266 20,633 61,900

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