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Atlas › Integer Profiles › Node 9,011,508

9,011,508

22 × 3 × 11 × 233 × 293
Abundant Even Composite

9,011,508 factors as 2^2 × 3 × 11 × 233 × 293. Its 48 positive divisors give a proper-divisor sum of 14,103,948, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 233 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,115,456
Proper Divisor Sum 14,103,948
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9011507 ← → #9011521

Radix Representation

Decimal 9011508
Binary 100010011000000100110100 (24 bits)
Octal 0o42300464
Hexadecimal 0x898134

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 66 132 233 293 466 586 699 879 932 1,172 1,398 1,758 2,563 2,796 3,223 3,516 5,126 6,446 7,689 9,669 10,252 12,892 15,378 19,338 30,756 38,676 68,269 136,538 204,807 273,076 409,614 750,959 819,228 1,501,918 2,252,877 3,003,836 4,505,754 9,011,508

Collatz Trajectory (181 steps to reach 1)

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

9,011,508 4,505,754 2,252,877 6,758,632 3,379,316 1,689,658 844,829 2,534,488 1,267,244 633,622 316,811 950,434 475,217 1,425,652 712,826 356,413 1,069,240 534,620 267,310 133,655 400,966 200,483 601,450 300,725 902,176 451,088 225,544 112,772 56,386 28,193 84,580 42,290 21,145 63,436 31,718 15,859 47,578 23,789 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265

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