9,688,175

5² × 7 × 23 × 29 × 83

Starting at 9,688,175, the Collatz iteration reaches 1 after 238 steps. The first transition is 29064526; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 23 × 29 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,999,040

Proper Divisor Sum 5,310,865

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9688169 ← → #9688183

Radix Representation

Decimal	9688175
Binary	100100111101010001101111 (24 bits)
Octal	0o44752157
Hexadecimal	0x93D46F

Divisor Catalog (48)

1 5 7 23 25 29 35 83 115 145 161 175 203 415 575 581 667 725 805 1,015 1,909 2,075 2,407 2,905 3,335 4,025 4,669 5,075 9,545 12,035 13,363 14,525 16,675 16,849 23,345 47,725 55,361 60,175 66,815 84,245 116,725 276,805 334,075 387,527 421,225 1,384,025 1,937,635 9,688,175

Collatz Trajectory (238 steps to reach 1)

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

9,688,175 29,064,526 14,532,263 43,596,790 21,798,395 65,395,186 32,697,593 98,092,780 49,046,390 24,523,195 73,569,586 36,784,793 110,354,380 55,177,190 27,588,595 82,765,786 41,382,893 124,148,680 62,074,340 31,037,170 15,518,585 46,555,756 23,277,878 11,638,939 34,916,818 17,458,409 52,375,228 26,187,614 13,093,807 39,281,422 19,640,711 58,922,134 29,461,067 88,383,202 44,191,601 132,574,804 66,287,402 33,143,701 99,431,104 49,715,552 24,857,776 12,428,888 6,214,444 3,107,222 1,553,611 4,660,834 2,330,417 6,991,252 3,495,626 1,747,813 5,243,440 2,621,720 1,310,860 655,430 327,715 983,146 491,573 1,474,720 737,360 368,680

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