λ
Harmonic Matrix

4,542,828

22 × 3 × 378569
Abundant Even Composite

4,542,828 has digital root 6. The neighboring primes are 4542817 and 4542829; its proper-divisor sum differs from the starting integer by 1,514,304.

Prime Factor Structure

Factorization String 2^2 × 3 × 378569
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,599,960
Proper Divisor Sum 6,057,132
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4542817 ← → #4542829

Radix Representation

Decimal 4542828
Binary 10001010101000101101100 (23 bits)
Octal 0o21250554
Hexadecimal 0x45516C

Divisor Catalog (12)

1 2 3 4 6 12 378,569 757,138 1,135,707 1,514,276 2,271,414 4,542,828

Collatz Trajectory (180 steps to reach 1)

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

4,542,828 2,271,414 1,135,707 3,407,122 1,703,561 5,110,684 2,555,342 1,277,671 3,833,014 1,916,507 5,749,522 2,874,761 8,624,284 4,312,142 2,156,071 6,468,214 3,234,107 9,702,322 4,851,161 14,553,484 7,276,742 3,638,371 10,915,114 5,457,557 16,372,672 8,186,336 4,093,168 2,046,584 1,023,292 511,646 255,823 767,470 383,735 1,151,206 575,603 1,726,810 863,405 2,590,216 1,295,108 647,554 323,777 971,332 485,666 242,833 728,500 364,250 182,125 546,376 273,188 136,594 68,297 204,892 102,446 51,223 153,670 76,835 230,506 115,253 345,760 172,880

More profiles

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