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Atlas › Integer Profiles › Node 8,856,056

8,856,056

23 × 11 × 157 × 641
Abundant Even Composite

8,856,056 factors as 2^3 × 11 × 157 × 641. Its 32 positive divisors give a proper-divisor sum of 9,402,424, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 157 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,258,480
Proper Divisor Sum 9,402,424
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8856053 ← → #8856073

Radix Representation

Decimal 8856056
Binary 100001110010000111111000 (24 bits)
Octal 0o41620770
Hexadecimal 0x8721F8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 157 314 628 641 1,256 1,282 1,727 2,564 3,454 5,128 6,908 7,051 13,816 14,102 28,204 56,408 100,637 201,274 402,548 805,096 1,107,007 2,214,014 4,428,028 8,856,056

Collatz Trajectory (106 steps to reach 1)

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

8,856,056 4,428,028 2,214,014 1,107,007 3,321,022 1,660,511 4,981,534 2,490,767 7,472,302 3,736,151 11,208,454 5,604,227 16,812,682 8,406,341 25,219,024 12,609,512 6,304,756 3,152,378 1,576,189 4,728,568 2,364,284 1,182,142 591,071 1,773,214 886,607 2,659,822 1,329,911 3,989,734 1,994,867 5,984,602 2,992,301 8,976,904 4,488,452 2,244,226 1,122,113 3,366,340 1,683,170 841,585 2,524,756 1,262,378 631,189 1,893,568 946,784 473,392 236,696 118,348 59,174 29,587 88,762 44,381 133,144 66,572 33,286 16,643 49,930 24,965 74,896 37,448 18,724 9,362

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