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Atlas › Integer Profiles › Node 2,736,288

2,736,288

25 × 33 × 3167
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^3 × 3167
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,983,360
Proper Divisor Sum 5,247,072
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2736263 ← → #2736313

Radix Representation

Decimal 2736288
Binary 1010011100000010100000 (22 bits)
Octal 0o12340240
Hexadecimal 0x29C0A0

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3,167 6,334 9,501 12,668 19,002 25,336 28,503 38,004 50,672 57,006 76,008 85,509 101,344 114,012 152,016 171,018 228,024 304,032 342,036 456,048 684,072 912,096 1,368,144 2,736,288

Collatz Trajectory (55 steps to reach 1)

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

2,736,288 1,368,144 684,072 342,036 171,018 85,509 256,528 128,264 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 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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