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Atlas › Integer Profiles › Node 11,628,846

11,628,846

2 × 34 × 23 × 3121
Abundant Even Composite

11,628,846 factors as 2 × 3^4 × 23 × 3121. Its 40 positive divisors give a proper-divisor sum of 15,570,018, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 23 × 3121
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 27,198,864
Proper Divisor Sum 15,570,018
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11628821 ← → #11628847

Radix Representation

Decimal 11628846
Binary 101100010111000100101110 (24 bits)
Octal 0o54270456
Hexadecimal 0xB1712E

Divisor Catalog (40)

1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1,242 1,863 3,121 3,726 6,242 9,363 18,726 28,089 56,178 71,783 84,267 143,566 168,534 215,349 252,801 430,698 505,602 646,047 1,292,094 1,938,141 3,876,282 5,814,423 11,628,846

Collatz Trajectory (153 steps to reach 1)

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

11,628,846 5,814,423 17,443,270 8,721,635 26,164,906 13,082,453 39,247,360 19,623,680 9,811,840 4,905,920 2,452,960 1,226,480 613,240 306,620 153,310 76,655 229,966 114,983 344,950 172,475 517,426 258,713 776,140 388,070 194,035 582,106 291,053 873,160 436,580 218,290 109,145 327,436 163,718 81,859 245,578 122,789 368,368 184,184 92,092 46,046 23,023 69,070 34,535 103,606 51,803 155,410 77,705 233,116 116,558 58,279 174,838 87,419 262,258 131,129 393,388 196,694 98,347 295,042 147,521 442,564

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