9,746,910

2 × 3² × 5 × 37 × 2927

Starting at 9,746,910, the Collatz iteration reaches 1 after 225 steps. The first transition is 4873455; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 37 × 2927

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 26,035,776

Proper Divisor Sum 16,288,866

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9746909 ← → #9746983

Radix Representation

Decimal	9746910
Binary	100101001011100111011110 (24 bits)
Octal	0o45134736
Hexadecimal	0x94B9DE

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1,110 1,665 2,927 3,330 5,854 8,781 14,635 17,562 26,343 29,270 43,905 52,686 87,810 108,299 131,715 216,598 263,430 324,897 541,495 649,794 974,691 1,082,990 1,624,485 1,949,382 3,248,970 4,873,455 9,746,910

Collatz Trajectory (225 steps to reach 1)

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

9,746,910 4,873,455 14,620,366 7,310,183 21,930,550 10,965,275 32,895,826 16,447,913 49,343,740 24,671,870 12,335,935 37,007,806 18,503,903 55,511,710 27,755,855 83,267,566 41,633,783 124,901,350 62,450,675 187,352,026 93,676,013 281,028,040 140,514,020 70,257,010 35,128,505 105,385,516 52,692,758 26,346,379 79,039,138 39,519,569 118,558,708 59,279,354 29,639,677 88,919,032 44,459,516 22,229,758 11,114,879 33,344,638 16,672,319 50,016,958 25,008,479 75,025,438 37,512,719 112,538,158 56,269,079 168,807,238 84,403,619 253,210,858 126,605,429 379,816,288 189,908,144 94,954,072 47,477,036 23,738,518 11,869,259 35,607,778 17,803,889 53,411,668 26,705,834 13,352,917

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