9,991,030

2 × 5 × 7 × 53 × 2693

Starting at 9,991,030, the Collatz iteration reaches 1 after 269 steps. The first transition is 4995515; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 53 × 2693

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,948,544

Proper Divisor Sum 10,957,514

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9991027 ← → #9991057

Radix Representation

Decimal	9991030
Binary	100110000111001101110110 (24 bits)
Octal	0o46071566
Hexadecimal	0x987376

Divisor Catalog (32)

1 2 5 7 10 14 35 53 70 106 265 371 530 742 1,855 2,693 3,710 5,386 13,465 18,851 26,930 37,702 94,255 142,729 188,510 285,458 713,645 999,103 1,427,290 1,998,206 4,995,515 9,991,030

Collatz Trajectory (269 steps to reach 1)

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

9,991,030 4,995,515 14,986,546 7,493,273 22,479,820 11,239,910 5,619,955 16,859,866 8,429,933 25,289,800 12,644,900 6,322,450 3,161,225 9,483,676 4,741,838 2,370,919 7,112,758 3,556,379 10,669,138 5,334,569 16,003,708 8,001,854 4,000,927 12,002,782 6,001,391 18,004,174 9,002,087 27,006,262 13,503,131 40,509,394 20,254,697 60,764,092 30,382,046 15,191,023 45,573,070 22,786,535 68,359,606 34,179,803 102,539,410 51,269,705 153,809,116 76,904,558 38,452,279 115,356,838 57,678,419 173,035,258 86,517,629 259,552,888 129,776,444 64,888,222 32,444,111 97,332,334 48,666,167 145,998,502 72,999,251 218,997,754 109,498,877 328,496,632 164,248,316 82,124,158

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