9,382,008

2³ × 3 × 431 × 907

9,382,008 has the prime decomposition 2^3 × 3 × 431 × 907. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 431 × 907

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,535,360

Proper Divisor Sum 14,153,352

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9381997 ← → #9382027

Radix Representation

Decimal	9382008
Binary	100011110010100001111000 (24 bits)
Octal	0o43624170
Hexadecimal	0x8F2878

Divisor Catalog (32)

1 2 3 4 6 8 12 24 431 862 907 1,293 1,724 1,814 2,586 2,721 3,448 3,628 5,172 5,442 7,256 10,344 10,884 21,768 390,917 781,834 1,172,751 1,563,668 2,345,502 3,127,336 4,691,004 9,382,008

Collatz Trajectory (101 steps to reach 1)

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

9,382,008 4,691,004 2,345,502 1,172,751 3,518,254 1,759,127 5,277,382 2,638,691 7,916,074 3,958,037 11,874,112 5,937,056 2,968,528 1,484,264 742,132 371,066 185,533 556,600 278,300 139,150 69,575 208,726 104,363 313,090 156,545 469,636 234,818 117,409 352,228 176,114 88,057 264,172 132,086 66,043 198,130 99,065 297,196 148,598 74,299 222,898 111,449 334,348 167,174 83,587 250,762 125,381 376,144 188,072 94,036 47,018 23,509 70,528 35,264 17,632 8,816 4,408 2,204 1,102 551 1,654

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