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4,458,556

22 × 17 × 173 × 379
Deficient Even Composite

4,458,556 factors as 2^2 × 17 × 173 × 379. Its 24 positive divisors give a proper-divisor sum of 3,872,564, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 173 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,331,120
Proper Divisor Sum 3,872,564
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4458533 ← → #4458557

Radix Representation

Decimal 4458556
Binary 10001000000100000111100 (23 bits)
Octal 0o21004074
Hexadecimal 0x44083C

Divisor Catalog (24)

1 2 4 17 34 68 173 346 379 692 758 1,516 2,941 5,882 6,443 11,764 12,886 25,772 65,567 131,134 262,268 1,114,639 2,229,278 4,458,556

Collatz Trajectory (162 steps to reach 1)

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

4,458,556 2,229,278 1,114,639 3,343,918 1,671,959 5,015,878 2,507,939 7,523,818 3,761,909 11,285,728 5,642,864 2,821,432 1,410,716 705,358 352,679 1,058,038 529,019 1,587,058 793,529 2,380,588 1,190,294 595,147 1,785,442 892,721 2,678,164 1,339,082 669,541 2,008,624 1,004,312 502,156 251,078 125,539 376,618 188,309 564,928 282,464 141,232 70,616 35,308 17,654 8,827 26,482 13,241 39,724 19,862 9,931 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715

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