9,973,080

2³ × 3² × 5 × 13 × 2131

Starting at 9,973,080, the Collatz iteration reaches 1 after 176 steps. The first transition is 4986540; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 13 × 2131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 34,922,160

Proper Divisor Sum 24,949,080

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9973079 ← → #9973109

Radix Representation

Decimal	9973080
Binary	100110000010110101011000 (24 bits)
Octal	0o46026530
Hexadecimal	0x982D58

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1,170 1,560 2,131 2,340 4,262 4,680 6,393 8,524 10,655 12,786 17,048 19,179 21,310 25,572 27,703 31,965

Collatz Trajectory (176 steps to reach 1)

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

9,973,080 4,986,540 2,493,270 1,246,635 3,739,906 1,869,953 5,609,860 2,804,930 1,402,465 4,207,396 2,103,698 1,051,849 3,155,548 1,577,774 788,887 2,366,662 1,183,331 3,549,994 1,774,997 5,324,992 2,662,496 1,331,248 665,624 332,812 166,406 83,203 249,610 124,805 374,416 187,208 93,604 46,802 23,401 70,204 35,102 17,551 52,654 26,327 78,982 39,491 118,474 59,237 177,712 88,856 44,428 22,214 11,107 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293

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