λ
Modular Archive

2,362,104

23 × 32 × 53 × 619
Abundant Even Composite

The decimal integer 2,362,104 is 1001000000101011111000 in binary (22 bits), 11005370 in octal and 240AF8 in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 53 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,528,600
Proper Divisor Sum 4,166,496
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2362091 ← → #2362109

Radix Representation

Decimal 2362104
Binary 1001000000101011111000 (22 bits)
Octal 0o11005370
Hexadecimal 0x240AF8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 619 636 954 1,238 1,272 1,857 1,908 2,476 3,714 3,816 4,952 5,571 7,428 11,142 14,856 22,284 32,807 44,568 65,614 98,421 131,228 196,842 262,456 295,263 393,684 590,526 787,368 1,181,052 2,362,104

Collatz Trajectory (179 steps to reach 1)

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

2,362,104 1,181,052 590,526 295,263 885,790 442,895 1,328,686 664,343 1,993,030 996,515 2,989,546 1,494,773 4,484,320 2,242,160 1,121,080 560,540 280,270 140,135 420,406 210,203 630,610 315,305 945,916 472,958 236,479 709,438 354,719 1,064,158 532,079 1,596,238 798,119 2,394,358 1,197,179 3,591,538 1,795,769 5,387,308 2,693,654 1,346,827 4,040,482 2,020,241 6,060,724 3,030,362 1,515,181 4,545,544 2,272,772 1,136,386 568,193 1,704,580 852,290 426,145 1,278,436 639,218 319,609 958,828 479,414 239,707 719,122 359,561 1,078,684 539,342

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