λ
Harmonic Matrix

1,484,184

23 × 3 × 13 × 67 × 71
Abundant Even Composite

1,484,184 has digital root 3. The neighboring primes are 1484183 and 1484201; its proper-divisor sum differs from the starting integer by 1,144,272.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 67 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,112,640
Proper Divisor Sum 2,628,456
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1484183 ← → #1484201

Radix Representation

Decimal 1484184
Binary 101101010010110011000 (21 bits)
Octal 0o5522630
Hexadecimal 0x16A598

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 39 52 67 71 78 104 134 142 156 201 213 268 284 312 402 426 536 568 804 852 871 923 1,608 1,704 1,742 1,846 2,613 2,769 3,484 3,692 4,757 5,226 5,538 6,968 7,384 9,514 10,452 11,076 14,271 19,028 20,904 22,152 28,542 38,056 57,084 61,841 114,168 123,682 185,523 247,364

Collatz Trajectory (194 steps to reach 1)

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

1,484,184 742,092 371,046 185,523 556,570 278,285 834,856 417,428 208,714 104,357 313,072 156,536 78,268 39,134 19,567 58,702 29,351 88,054 44,027 132,082 66,041 198,124 99,062 49,531 148,594 74,297 222,892 111,446 55,723 167,170 83,585 250,756 125,378 62,689 188,068 94,034 47,017 141,052 70,526 35,263 105,790 52,895 158,686 79,343 238,030 119,015 357,046 178,523 535,570 267,785 803,356 401,678 200,839 602,518 301,259 903,778 451,889 1,355,668 677,834 338,917

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