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Atlas › Integer Profiles › Node 8,953,048

8,953,048

23 × 13 × 31 × 2777
Abundant Even Composite

8,953,048 factors as 2^3 × 13 × 31 × 2777. Its 32 positive divisors give a proper-divisor sum of 9,715,112, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 31 × 2777
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,668,160
Proper Divisor Sum 9,715,112
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8953019 ← → #8953057

Radix Representation

Decimal 8953048
Binary 100010001001110011011000 (24 bits)
Octal 0o42116330
Hexadecimal 0x889CD8

Divisor Catalog (32)

1 2 4 8 13 26 31 52 62 104 124 248 403 806 1,612 2,777 3,224 5,554 11,108 22,216 36,101 72,202 86,087 144,404 172,174 288,808 344,348 688,696 1,119,131 2,238,262 4,476,524 8,953,048

Collatz Trajectory (212 steps to reach 1)

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

8,953,048 4,476,524 2,238,262 1,119,131 3,357,394 1,678,697 5,036,092 2,518,046 1,259,023 3,777,070 1,888,535 5,665,606 2,832,803 8,498,410 4,249,205 12,747,616 6,373,808 3,186,904 1,593,452 796,726 398,363 1,195,090 597,545 1,792,636 896,318 448,159 1,344,478 672,239 2,016,718 1,008,359 3,025,078 1,512,539 4,537,618 2,268,809 6,806,428 3,403,214 1,701,607 5,104,822 2,552,411 7,657,234 3,828,617 11,485,852 5,742,926 2,871,463 8,614,390 4,307,195 12,921,586 6,460,793 19,382,380 9,691,190 4,845,595 14,536,786 7,268,393 21,805,180 10,902,590 5,451,295 16,353,886 8,176,943 24,530,830 12,265,415

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