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Atlas › Integer Profiles › Node 1,308,288

1,308,288

27 × 3 × 3407
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 3407
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,476,160
Proper Divisor Sum 2,167,872
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1308287 ← → #1308299

Radix Representation

Decimal 1308288
Binary 100111111011010000000 (21 bits)
Octal 0o4773200
Hexadecimal 0x13F680

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3,407 6,814 10,221 13,628 20,442 27,256 40,884 54,512 81,768 109,024 163,536 218,048 327,072 436,096 654,144 1,308,288

Collatz Trajectory (67 steps to reach 1)

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

1,308,288 654,144 327,072 163,536 81,768 40,884 20,442 10,221 30,664 15,332 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40

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