λ
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8,556,632

23 × 7 × 47 × 3251
Abundant Even Composite

8,556,632 factors as 2^3 × 7 × 47 × 3251. Its 32 positive divisors give a proper-divisor sum of 10,174,888, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 47 × 3251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,731,520
Proper Divisor Sum 10,174,888
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8556629 ← → #8556641

Radix Representation

Decimal 8556632
Binary 100000101001000001011000 (24 bits)
Octal 0o40510130
Hexadecimal 0x829058

Divisor Catalog (32)

1 2 4 7 8 14 28 47 56 94 188 329 376 658 1,316 2,632 3,251 6,502 13,004 22,757 26,008 45,514 91,028 152,797 182,056 305,594 611,188 1,069,579 1,222,376 2,139,158 4,278,316 8,556,632

Collatz Trajectory (150 steps to reach 1)

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

8,556,632 4,278,316 2,139,158 1,069,579 3,208,738 1,604,369 4,813,108 2,406,554 1,203,277 3,609,832 1,804,916 902,458 451,229 1,353,688 676,844 338,422 169,211 507,634 253,817 761,452 380,726 190,363 571,090 285,545 856,636 428,318 214,159 642,478 321,239 963,718 481,859 1,445,578 722,789 2,168,368 1,084,184 542,092 271,046 135,523 406,570 203,285 609,856 304,928 152,464 76,232 38,116 19,058 9,529 28,588 14,294 7,147 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047

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