λ
Harmonic Matrix

4,518,728

23 × 683 × 827
Deficient Even Composite

4,518,728 has digital root 8. The neighboring primes are 4518691 and 4518737; its proper-divisor sum differs from the starting integer by -542,176.

Prime Factor Structure

Factorization String 2^3 × 683 × 827
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,495,280
Proper Divisor Sum 3,976,552
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4518691 ← → #4518737

Radix Representation

Decimal 4518728
Binary 10001001111001101001000 (23 bits)
Octal 0o21171510
Hexadecimal 0x44F348

Divisor Catalog (16)

1 2 4 8 683 827 1,366 1,654 2,732 3,308 5,464 6,616 564,841 1,129,682 2,259,364 4,518,728

Collatz Trajectory (162 steps to reach 1)

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

4,518,728 2,259,364 1,129,682 564,841 1,694,524 847,262 423,631 1,270,894 635,447 1,906,342 953,171 2,859,514 1,429,757 4,289,272 2,144,636 1,072,318 536,159 1,608,478 804,239 2,412,718 1,206,359 3,619,078 1,809,539 5,428,618 2,714,309 8,142,928 4,071,464 2,035,732 1,017,866 508,933 1,526,800 763,400 381,700 190,850 95,425 286,276 143,138 71,569 214,708 107,354 53,677 161,032 80,516 40,258 20,129 60,388 30,194 15,097 45,292 22,646 11,323 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664

More profiles

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