9,367,120

2⁴ × 5 × 7 × 43 × 389

Starting at 9,367,120, the Collatz iteration reaches 1 after 132 steps. The first transition is 4683560; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 43 × 389

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 25,534,080

Proper Divisor Sum 16,166,960

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9367117 ← → #9367123

Radix Representation

Decimal	9367120
Binary	100011101110111001010000 (24 bits)
Octal	0o43567120
Hexadecimal	0x8EEE50

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 389 430 560 602 688 778 860 1,204 1,505 1,556 1,720 1,945 2,408 2,723 3,010 3,112 3,440 3,890 4,816 5,446 6,020 6,224 7,780 10,892 12,040 13,615 15,560 16,727 21,784 24,080 27,230 31,120 33,454 43,568 54,460

Collatz Trajectory (132 steps to reach 1)

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

9,367,120 4,683,560 2,341,780 1,170,890 585,445 1,756,336 878,168 439,084 219,542 109,771 329,314 164,657 493,972 246,986 123,493 370,480 185,240 92,620 46,310 23,155 69,466 34,733 104,200 52,100 26,050 13,025 39,076 19,538 9,769 29,308 14,654 7,327 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426

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