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Atlas › Integer Profiles › Node 9,486,152

9,486,152

23 × 13 × 53 × 1721
Abundant Even Composite

9,486,152 factors as 2^3 × 13 × 53 × 1721. Its 32 positive divisors give a proper-divisor sum of 10,041,328, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 53 × 1721
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,527,480
Proper Divisor Sum 10,041,328
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9486137 ← → #9486157

Radix Representation

Decimal 9486152
Binary 100100001011111101001000 (24 bits)
Octal 0o44137510
Hexadecimal 0x90BF48

Divisor Catalog (32)

1 2 4 8 13 26 52 53 104 106 212 424 689 1,378 1,721 2,756 3,442 5,512 6,884 13,768 22,373 44,746 89,492 91,213 178,984 182,426 364,852 729,704 1,185,769 2,371,538 4,743,076 9,486,152

Collatz Trajectory (150 steps to reach 1)

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

9,486,152 4,743,076 2,371,538 1,185,769 3,557,308 1,778,654 889,327 2,667,982 1,333,991 4,001,974 2,000,987 6,002,962 3,001,481 9,004,444 4,502,222 2,251,111 6,753,334 3,376,667 10,130,002 5,065,001 15,195,004 7,597,502 3,798,751 11,396,254 5,698,127 17,094,382 8,547,191 25,641,574 12,820,787 38,462,362 19,231,181 57,693,544 28,846,772 14,423,386 7,211,693 21,635,080 10,817,540 5,408,770 2,704,385 8,113,156 4,056,578 2,028,289 6,084,868 3,042,434 1,521,217 4,563,652 2,281,826 1,140,913 3,422,740 1,711,370 855,685 2,567,056 1,283,528 641,764 320,882 160,441 481,324 240,662 120,331 360,994

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