λ
Modular Archive

2,320,240

24 × 5 × 13 × 23 × 97
Abundant Even Composite

The decimal integer 2,320,240 is 1000110110011101110000 in binary (22 bits), 10663560 in octal and 236770 in hexadecimal. Its digit sum is 13.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 23 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 6,124,608
Proper Divisor Sum 3,804,368
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2320207 ← → #2320243

Radix Representation

Decimal 2320240
Binary 1000110110011101110000 (22 bits)
Octal 0o10663560
Hexadecimal 0x236770

Divisor Catalog (60 of 80)

1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 97 104 115 130 184 194 208 230 260 299 368 388 460 485 520 598 776 920 970 1,040 1,196 1,261 1,495 1,552 1,840 1,940 2,231 2,392 2,522 2,990 3,880 4,462 4,784 5,044 5,980 6,305 7,760 8,924 10,088 11,155 11,960 12,610 17,848

Collatz Trajectory (192 steps to reach 1)

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

2,320,240 1,160,120 580,060 290,030 145,015 435,046 217,523 652,570 326,285 978,856 489,428 244,714 122,357 367,072 183,536 91,768 45,884 22,942 11,471 34,414 17,207 51,622 25,811 77,434 38,717 116,152 58,076 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722

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