λ
Harmonic Matrix

1,832,240

24 × 5 × 37 × 619
Abundant Even Composite

1,832,240 has digital root 2. The neighboring primes are 1832239 and 1832251; its proper-divisor sum differs from the starting integer by 717,680.

Prime Factor Structure

Factorization String 2^4 × 5 × 37 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,382,160
Proper Divisor Sum 2,549,920
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1832239 ← → #1832251

Radix Representation

Decimal 1832240
Binary 110111111010100110000 (21 bits)
Octal 0o6772460
Hexadecimal 0x1BF530

Divisor Catalog (40)

1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 619 740 1,238 1,480 2,476 2,960 3,095 4,952 6,190 9,904 12,380 22,903 24,760 45,806 49,520 91,612 114,515 183,224 229,030 366,448 458,060 916,120 1,832,240

Collatz Trajectory (96 steps to reach 1)

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

1,832,240 916,120 458,060 229,030 114,515 343,546 171,773 515,320 257,660 128,830 64,415 193,246 96,623 289,870 144,935 434,806 217,403 652,210 326,105 978,316 489,158 244,579 733,738 366,869 1,100,608 550,304 275,152 137,576 68,788 34,394 17,197 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943

More profiles

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