λ
Modular Archive

3,584,196

22 × 33 × 7 × 11 × 431
Abundant Even Composite

The decimal integer 3,584,196 is 1101101011000011000100 in binary (22 bits), 15530304 in octal and 36B0C4 in hexadecimal. Its digit sum is 36.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 11 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 11,612,160
Proper Divisor Sum 8,027,964
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3584183 ← → #3584201

Radix Representation

Decimal 3584196
Binary 1101101011000011000100 (22 bits)
Octal 0o15530304
Hexadecimal 0x36B0C4

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 431 462 594 693 756 862 924 1,188 1,293 1,386 1,724 2,079 2,586 2,772 3,017 3,879 4,158 4,741 5,172 6,034 7,758 8,316 9,051

Collatz Trajectory (141 steps to reach 1)

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

3,584,196 1,792,098 896,049 2,688,148 1,344,074 672,037 2,016,112 1,008,056 504,028 252,014 126,007 378,022 189,011 567,034 283,517 850,552 425,276 212,638 106,319 318,958 159,479 478,438 239,219 717,658 358,829 1,076,488 538,244 269,122 134,561 403,684 201,842 100,921 302,764 151,382 75,691 227,074 113,537 340,612 170,306 85,153 255,460 127,730 63,865 191,596 95,798 47,899 143,698 71,849 215,548 107,774 53,887 161,662 80,831 242,494 121,247 363,742 181,871 545,614 272,807 818,422

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