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Atlas › Integer Profiles › Node 2,736,608

2,736,608

25 × 7 × 19 × 643
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 19 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,491,520
Proper Divisor Sum 3,754,912
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2736583 ← → #2736623

Radix Representation

Decimal 2736608
Binary 1010011100000111100000 (22 bits)
Octal 0o12340740
Hexadecimal 0x29C1E0

Divisor Catalog (48)

1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 643 1,064 1,286 2,128 2,572 4,256 4,501 5,144 9,002 10,288 12,217 18,004 20,576 24,434 36,008 48,868 72,016 85,519 97,736 144,032 171,038 195,472 342,076 390,944 684,152 1,368,304 2,736,608

Collatz Trajectory (55 steps to reach 1)

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

2,736,608 1,368,304 684,152 342,076 171,038 85,519 256,558 128,279 384,838 192,419 577,258 288,629 865,888 432,944 216,472 108,236 54,118 27,059 81,178 40,589 121,768 60,884 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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