9,815,140

2² × 5 × 449 × 1093

Starting at 9,815,140, the Collatz iteration reaches 1 after 145 steps. The first transition is 4907570; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 449 × 1093

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,676,600

Proper Divisor Sum 10,861,460

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9815129 ← → #9815147

Radix Representation

Decimal	9815140
Binary	100101011100010001100100 (24 bits)
Octal	0o45342144
Hexadecimal	0x95C464

Divisor Catalog (24)

1 2 4 5 10 20 449 898 1,093 1,796 2,186 2,245 4,372 4,490 5,465 8,980 10,930 21,860 490,757 981,514 1,963,028 2,453,785 4,907,570 9,815,140

Collatz Trajectory (145 steps to reach 1)

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

9,815,140 4,907,570 2,453,785 7,361,356 3,680,678 1,840,339 5,521,018 2,760,509 8,281,528 4,140,764 2,070,382 1,035,191 3,105,574 1,552,787 4,658,362 2,329,181 6,987,544 3,493,772 1,746,886 873,443 2,620,330 1,310,165 3,930,496 1,965,248 982,624 491,312 245,656 122,828 61,414 30,707 92,122 46,061 138,184 69,092 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590 32,795 98,386 49,193 147,580 73,790 36,895 110,686 55,343 166,030 83,015 249,046 124,523 373,570

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