1,164,870

2 × 3² × 5 × 7 × 43²

Starting at 1,164,870, the Collatz iteration reaches 1 after 129 steps. The first transition is 582435; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 43^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,543,696

Proper Divisor Sum 2,378,826

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1164869 ← → #1164899

Radix Representation

Decimal	1164870
Binary	100011100011001000110 (21 bits)
Octal	0o4343106
Hexadecimal	0x11C646

Divisor Catalog (60 of 72)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 63 70 86 90 105 126 129 210 215 258 301 315 387 430 602 630 645 774 903 1,290 1,505 1,806 1,849 1,935 2,709 3,010 3,698 3,870 4,515 5,418 5,547 9,030 9,245 11,094 12,943 13,545 16,641 18,490 25,886 27,090 27,735 33,282 38,829

Collatz Trajectory (129 steps to reach 1)

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

1,164,870 582,435 1,747,306 873,653 2,620,960 1,310,480 655,240 327,620 163,810 81,905 245,716 122,858 61,429 184,288 92,144 46,072 23,036 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388 210,194 105,097 315,292 157,646 78,823 236,470 118,235 354,706 177,353 532,060 266,030

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