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Atlas › Integer Profiles › Node 9,104,872

9,104,872

23 × 7 × 23 × 7069
Abundant Even Composite

9,104,872 factors as 2^3 × 7 × 23 × 7069. Its 32 positive divisors give a proper-divisor sum of 11,256,728, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 23 × 7069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,361,600
Proper Divisor Sum 11,256,728
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9104833 ← → #9104873

Radix Representation

Decimal 9104872
Binary 100010101110110111101000 (24 bits)
Octal 0o42566750
Hexadecimal 0x8AEDE8

Divisor Catalog (32)

1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1,288 7,069 14,138 28,276 49,483 56,552 98,966 162,587 197,932 325,174 395,864 650,348 1,138,109 1,300,696 2,276,218 4,552,436 9,104,872

Collatz Trajectory (243 steps to reach 1)

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

9,104,872 4,552,436 2,276,218 1,138,109 3,414,328 1,707,164 853,582 426,791 1,280,374 640,187 1,920,562 960,281 2,880,844 1,440,422 720,211 2,160,634 1,080,317 3,240,952 1,620,476 810,238 405,119 1,215,358 607,679 1,823,038 911,519 2,734,558 1,367,279 4,101,838 2,050,919 6,152,758 3,076,379 9,229,138 4,614,569 13,843,708 6,921,854 3,460,927 10,382,782 5,191,391 15,574,174 7,787,087 23,361,262 11,680,631 35,041,894 17,520,947 52,562,842 26,281,421 78,844,264 39,422,132 19,711,066 9,855,533 29,566,600 14,783,300 7,391,650 3,695,825 11,087,476 5,543,738 2,771,869 8,315,608 4,157,804 2,078,902

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