λ
Harmonic Matrix

4,595,988

22 × 3 × 382999
Abundant Even Composite

4,595,988 has digital root 3. The neighboring primes are 4595953 and 4595993; its proper-divisor sum differs from the starting integer by 1,532,024.

Prime Factor Structure

Factorization String 2^2 × 3 × 382999
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,724,000
Proper Divisor Sum 6,128,012
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #4595953 ← → #4595993

Radix Representation

Decimal 4595988
Binary 10001100010000100010100 (23 bits)
Octal 0o21420424
Hexadecimal 0x462114

Divisor Catalog (12)

1 2 3 4 6 12 382,999 765,998 1,148,997 1,531,996 2,297,994 4,595,988

Collatz Trajectory (100 steps to reach 1)

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

4,595,988 2,297,994 1,148,997 3,446,992 1,723,496 861,748 430,874 215,437 646,312 323,156 161,578 80,789 242,368 121,184 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814

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