λ
Harmonic Matrix

4,450,602

2 × 3 × 13 × 57059
Abundant Even Composite

4,450,602 has digital root 3. The neighboring primes are 4450573 and 4450603; its proper-divisor sum differs from the starting integer by 684,876.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 57059
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,586,080
Proper Divisor Sum 5,135,478
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4450573 ← → #4450603

Radix Representation

Decimal 4450602
Binary 10000111110100100101010 (23 bits)
Octal 0o20764452
Hexadecimal 0x43E92A

Divisor Catalog (16)

1 2 3 6 13 26 39 78 57,059 114,118 171,177 342,354 741,767 1,483,534 2,225,301 4,450,602

Collatz Trajectory (87 steps to reach 1)

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

4,450,602 2,225,301 6,675,904 3,337,952 1,668,976 834,488 417,244 208,622 104,311 312,934 156,467 469,402 234,701 704,104 352,052 176,026 88,013 264,040 132,020 66,010 33,005 99,016 49,508 24,754 12,377 37,132 18,566 9,283 27,850 13,925 41,776 20,888 10,444 5,222 2,611 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131

More profiles

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