9,752,169

3 × 7 × 17 × 59 × 463

Starting at 9,752,169, the Collatz iteration reaches 1 after 150 steps. The first transition is 29256508; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 59 × 463

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,035,840

Proper Divisor Sum 6,283,671

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9752167 ← → #9752173

Radix Representation

Decimal	9752169
Binary	100101001100111001101001 (24 bits)
Octal	0o45147151
Hexadecimal	0x94CE69

Divisor Catalog (32)

1 3 7 17 21 51 59 119 177 357 413 463 1,003 1,239 1,389 3,009 3,241 7,021 7,871 9,723 21,063 23,613 27,317 55,097 81,951 165,291 191,219 464,389 573,657 1,393,167 3,250,723 9,752,169

Collatz Trajectory (150 steps to reach 1)

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

9,752,169 29,256,508 14,628,254 7,314,127 21,942,382 10,971,191 32,913,574 16,456,787 49,370,362 24,685,181 74,055,544 37,027,772 18,513,886 9,256,943 27,770,830 13,885,415 41,656,246 20,828,123 62,484,370 31,242,185 93,726,556 46,863,278 23,431,639 70,294,918 35,147,459 105,442,378 52,721,189 158,163,568 79,081,784 39,540,892 19,770,446 9,885,223 29,655,670 14,827,835 44,483,506 22,241,753 66,725,260 33,362,630 16,681,315 50,043,946 25,021,973 75,065,920 37,532,960 18,766,480 9,383,240 4,691,620 2,345,810 1,172,905 3,518,716 1,759,358 879,679 2,639,038 1,319,519 3,958,558 1,979,279 5,937,838 2,968,919 8,906,758 4,453,379 13,360,138

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