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Atlas › Integer Profiles › Node 8,552,832

8,552,832

27 × 3 × 22273
Abundant Even Composite

8,552,832 factors as 2^7 × 3 × 22273. Its 32 positive divisors give a proper-divisor sum of 14,166,648, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 22273
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,719,480
Proper Divisor Sum 14,166,648
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8552813 ← → #8552833

Radix Representation

Decimal 8552832
Binary 100000101000000110000000 (24 bits)
Octal 0o40500600
Hexadecimal 0x828180

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 22,273 44,546 66,819 89,092 133,638 178,184 267,276 356,368 534,552 712,736 1,069,104 1,425,472 2,138,208 2,850,944 4,276,416 8,552,832

Collatz Trajectory (124 steps to reach 1)

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

8,552,832 4,276,416 2,138,208 1,069,104 534,552 267,276 133,638 66,819 200,458 100,229 300,688 150,344 75,172 37,586 18,793 56,380 28,190 14,095 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058

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