λ
Harmonic Matrix

4,752,138

2 × 3 × 792023
Abundant Even Composite

4,752,138 has digital root 3. The neighboring primes are 4752133 and 4752157; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 792023
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,504,288
Proper Divisor Sum 4,752,150
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4752133 ← → #4752157

Radix Representation

Decimal 4752138
Binary 10010001000001100001010 (23 bits)
Octal 0o22101412
Hexadecimal 0x48830A

Divisor Catalog (8)

1 2 3 6 792,023 1,584,046 2,376,069 4,752,138

Collatz Trajectory (100 steps to reach 1)

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

4,752,138 2,376,069 7,128,208 3,564,104 1,782,052 891,026 445,513 1,336,540 668,270 334,135 1,002,406 501,203 1,503,610 751,805 2,255,416 1,127,708 563,854 281,927 845,782 422,891 1,268,674 634,337 1,903,012 951,506 475,753 1,427,260 713,630 356,815 1,070,446 535,223 1,605,670 802,835 2,408,506 1,204,253 3,612,760 1,806,380 903,190 451,595 1,354,786 677,393 2,032,180 1,016,090 508,045 1,524,136 762,068 381,034 190,517 571,552 285,776 142,888 71,444 35,722 17,861 53,584 26,792 13,396 6,698 3,349 10,048 5,024

More profiles

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