λ
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8,990,632

23 × 7 × 181 × 887
Abundant Even Composite

8,990,632 factors as 2^3 × 7 × 181 × 887. Its 32 positive divisors give a proper-divisor sum of 10,403,288, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 181 × 887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,393,920
Proper Divisor Sum 10,403,288
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8990623 ← → #8990669

Radix Representation

Decimal 8990632
Binary 100010010010111110101000 (24 bits)
Octal 0o42227650
Hexadecimal 0x892FA8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 181 362 724 887 1,267 1,448 1,774 2,534 3,548 5,068 6,209 7,096 10,136 12,418 24,836 49,672 160,547 321,094 642,188 1,123,829 1,284,376 2,247,658 4,495,316 8,990,632

Collatz Trajectory (150 steps to reach 1)

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

8,990,632 4,495,316 2,247,658 1,123,829 3,371,488 1,685,744 842,872 421,436 210,718 105,359 316,078 158,039 474,118 237,059 711,178 355,589 1,066,768 533,384 266,692 133,346 66,673 200,020 100,010 50,005 150,016 75,008 37,504 18,752 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

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