7,368,732

2² × 3⁶ × 7 × 19²

7,368,732 has the prime decomposition 2^2 × 3^6 × 7 × 19^2. Its 4 distinct prime factors produce 126 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^6 × 7 × 19^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 23,320,248

Proper Divisor Sum 15,951,516

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7368721 ← → #7368737

Radix Representation

Decimal	7368732
Binary	11100000111000000011100 (23 bits)
Octal	0o34070034
Hexadecimal	0x70701C

Divisor Catalog (60 of 126)

1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 243 252 266 324 342 361 378 399 486 513 532 567 684 722 729 756 798 972 1,026 1,083 1,134 1,197 1,444 1,458 1,539 1,596 1,701 2,052 2,166

Collatz Trajectory (310 steps to reach 1)

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

7,368,732 3,684,366 1,842,183 5,526,550 2,763,275 8,289,826 4,144,913 12,434,740 6,217,370 3,108,685 9,326,056 4,663,028 2,331,514 1,165,757 3,497,272 1,748,636 874,318 437,159 1,311,478 655,739 1,967,218 983,609 2,950,828 1,475,414 737,707 2,213,122 1,106,561 3,319,684 1,659,842 829,921 2,489,764 1,244,882 622,441 1,867,324 933,662 466,831 1,400,494 700,247 2,100,742 1,050,371 3,151,114 1,575,557 4,726,672 2,363,336 1,181,668 590,834 295,417 886,252 443,126 221,563 664,690 332,345 997,036 498,518 249,259 747,778 373,889 1,121,668 560,834 280,417

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