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Atlas › Integer Profiles › Node 8,098,056

8,098,056

23 × 34 × 12497
Abundant Even Composite

8,098,056 factors as 2^3 × 3^4 × 12497. Its 40 positive divisors give a proper-divisor sum of 14,585,814, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 12497
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,683,870
Proper Divisor Sum 14,585,814
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8098049 ← → #8098067

Radix Representation

Decimal 8098056
Binary 11110111001000100001000 (23 bits)
Octal 0o36710410
Hexadecimal 0x7B9108

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 12,497 24,994 37,491 49,988 74,982 99,976 112,473 149,964 224,946 299,928 337,419 449,892 674,838 899,784 1,012,257 1,349,676 2,024,514 2,699,352 4,049,028 8,098,056

Collatz Trajectory (85 steps to reach 1)

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

8,098,056 4,049,028 2,024,514 1,012,257 3,036,772 1,518,386 759,193 2,277,580 1,138,790 569,395 1,708,186 854,093 2,562,280 1,281,140 640,570 320,285 960,856 480,428 240,214 120,107 360,322 180,161 540,484 270,242 135,121 405,364 202,682 101,341 304,024 152,012 76,006 38,003 114,010 57,005 171,016 85,508 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427

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