9,262,008

2³ × 3² × 7 × 17 × 23 × 47

9,262,008 has the prime decomposition 2^3 × 3^2 × 7 × 17 × 23 × 47. Its 6 distinct prime factors produce 192 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 17 × 23 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 32,348,160

Proper Divisor Sum 23,086,152

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9262007 ← → #9262009

Radix Representation

Decimal	9262008
Binary	100011010101001110111000 (24 bits)
Octal	0o43251670
Hexadecimal	0x8D53B8

Divisor Catalog (60 of 192)

1 2 3 4 6 7 8 9 12 14 17 18 21 23 24 28 34 36 42 46 47 51 56 63 68 69 72 84 92 94 102 119 126 136 138 141 153 161 168 184 188 204 207 238 252 276 282 306 322 329 357 376 391 408 414 423 476 483 504 552

Collatz Trajectory (194 steps to reach 1)

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

9,262,008 4,631,004 2,315,502 1,157,751 3,473,254 1,736,627 5,209,882 2,604,941 7,814,824 3,907,412 1,953,706 976,853 2,930,560 1,465,280 732,640 366,320 183,160 91,580 45,790 22,895 68,686 34,343 103,030 51,515 154,546 77,273 231,820 115,910 57,955 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796

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