λ
Harmonic Matrix

6,323,620

22 × 5 × 23 × 59 × 233
Abundant Even Composite

6,323,620 has digital root 4. The neighboring primes are 6323617 and 6323651; its proper-divisor sum differs from the starting integer by 1,505,080.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 59 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,152,320
Proper Divisor Sum 7,828,700
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6323617 ← → #6323651

Radix Representation

Decimal 6323620
Binary 11000000111110110100100 (23 bits)
Octal 0o30076644
Hexadecimal 0x607DA4

Divisor Catalog (48)

1 2 4 5 10 20 23 46 59 92 115 118 230 233 236 295 460 466 590 932 1,165 1,180 1,357 2,330 2,714 4,660 5,359 5,428 6,785 10,718 13,570 13,747 21,436 26,795 27,140 27,494 53,590 54,988 68,735 107,180 137,470 274,940 316,181 632,362 1,264,724 1,580,905 3,161,810 6,323,620

Collatz Trajectory (152 steps to reach 1)

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

6,323,620 3,161,810 1,580,905 4,742,716 2,371,358 1,185,679 3,557,038 1,778,519 5,335,558 2,667,779 8,003,338 4,001,669 12,005,008 6,002,504 3,001,252 1,500,626 750,313 2,250,940 1,125,470 562,735 1,688,206 844,103 2,532,310 1,266,155 3,798,466 1,899,233 5,697,700 2,848,850 1,424,425 4,273,276 2,136,638 1,068,319 3,204,958 1,602,479 4,807,438 2,403,719 7,211,158 3,605,579 10,816,738 5,408,369 16,225,108 8,112,554 4,056,277 12,168,832 6,084,416 3,042,208 1,521,104 760,552 380,276 190,138 95,069 285,208 142,604 71,302 35,651 106,954 53,477 160,432 80,216 40,108

More profiles

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