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Atlas › Integer Profiles › Node 3,528,072

3,528,072

23 × 32 × 19 × 2579
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 19 × 2579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,062,000
Proper Divisor Sum 6,533,928
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3528067 ← → #3528089

Radix Representation

Decimal 3528072
Binary 1101011101010110001000 (22 bits)
Octal 0o15352610
Hexadecimal 0x35D588

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1,368 2,579 5,158 7,737 10,316 15,474 20,632 23,211 30,948 46,422 49,001 61,896 92,844 98,002 147,003 185,688 196,004 294,006 392,008 441,009 588,012 882,018 1,176,024 1,764,036 3,528,072

Collatz Trajectory (66 steps to reach 1)

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

3,528,072 1,764,036 882,018 441,009 1,323,028 661,514 330,757 992,272 496,136 248,068 124,034 62,017 186,052 93,026 46,513 139,540 69,770 34,885 104,656 52,328 26,164 13,082 6,541 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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