9,406,272

2⁶ × 3 × 48991

9,406,272 has the prime decomposition 2^6 × 3 × 48991. Its 3 distinct prime factors produce 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 48991

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 24,887,936

Proper Divisor Sum 15,481,664

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9406259 ← → #9406277

Radix Representation

Decimal	9406272
Binary	100011111000011101000000 (24 bits)
Octal	0o43703500
Hexadecimal	0x8F8740

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 48,991 97,982 146,973 195,964 293,946 391,928 587,892 783,856 1,175,784 1,567,712 2,351,568 3,135,424 4,703,136 9,406,272

Collatz Trajectory (70 steps to reach 1)

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

9,406,272 4,703,136 2,351,568 1,175,784 587,892 293,946 146,973 440,920 220,460 110,230 55,115 165,346 82,673 248,020 124,010 62,005 186,016 93,008 46,504 23,252 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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