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Atlas › Integer Profiles › Node 8,548,902

8,548,902

2 × 34 × 113 × 467
Abundant Even Composite

8,548,902 factors as 2 × 3^4 × 113 × 467. Its 40 positive divisors give a proper-divisor sum of 10,817,874, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 113 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,366,776
Proper Divisor Sum 10,817,874
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8548853 ← → #8548913

Radix Representation

Decimal 8548902
Binary 100000100111001000100110 (24 bits)
Octal 0o40471046
Hexadecimal 0x827226

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 113 162 226 339 467 678 934 1,017 1,401 2,034 2,802 3,051 4,203 6,102 8,406 9,153 12,609 18,306 25,218 37,827 52,771 75,654 105,542 158,313 316,626 474,939 949,878 1,424,817 2,849,634 4,274,451 8,548,902

Collatz Trajectory (150 steps to reach 1)

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

8,548,902 4,274,451 12,823,354 6,411,677 19,235,032 9,617,516 4,808,758 2,404,379 7,213,138 3,606,569 10,819,708 5,409,854 2,704,927 8,114,782 4,057,391 12,172,174 6,086,087 18,258,262 9,129,131 27,387,394 13,693,697 41,081,092 20,540,546 10,270,273 30,810,820 15,405,410 7,702,705 23,108,116 11,554,058 5,777,029 17,331,088 8,665,544 4,332,772 2,166,386 1,083,193 3,249,580 1,624,790 812,395 2,437,186 1,218,593 3,655,780 1,827,890 913,945 2,741,836 1,370,918 685,459 2,056,378 1,028,189 3,084,568 1,542,284 771,142 385,571 1,156,714 578,357 1,735,072 867,536 433,768 216,884 108,442 54,221

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