2,172,030

2 × 3 × 5 × 7 × 10343

Starting at 2,172,030, the Collatz iteration reaches 1 after 117 steps. The first transition is 1086015; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 10343

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,958,144

Proper Divisor Sum 3,786,114

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2172007 ← → #2172031

Radix Representation

Decimal	2172030
Binary	1000010010010001111110 (22 bits)
Octal	0o10222176
Hexadecimal	0x21247E

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 10,343 20,686 31,029 51,715 62,058 72,401 103,430 144,802 155,145 217,203 310,290 362,005 434,406 724,010 1,086,015 2,172,030

Collatz Trajectory (117 steps to reach 1)

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

2,172,030 1,086,015 3,258,046 1,629,023 4,887,070 2,443,535 7,330,606 3,665,303 10,995,910 5,497,955 16,493,866 8,246,933 24,740,800 12,370,400 6,185,200 3,092,600 1,546,300 773,150 386,575 1,159,726 579,863 1,739,590 869,795 2,609,386 1,304,693 3,914,080 1,957,040 978,520 489,260 244,630 122,315 366,946 183,473 550,420 275,210 137,605 412,816 206,408 103,204 51,602 25,801 77,404 38,702 19,351 58,054 29,027 87,082 43,541 130,624 65,312 32,656 16,328 8,164 4,082 2,041 6,124 3,062 1,531 4,594 2,297

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