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Atlas › Integer Profiles › Node 2,258,304

2,258,304

27 × 3 × 5881
Abundant Even Composite

2,258,304 factors as 2^7 × 3 × 5881. Its 32 positive divisors give a proper-divisor sum of 3,741,336, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 5881
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,999,640
Proper Divisor Sum 3,741,336
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2258299 ← → #2258323

Radix Representation

Decimal 2258304
Binary 1000100111010110000000 (22 bits)
Octal 0o10472600
Hexadecimal 0x227580

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5,881 11,762 17,643 23,524 35,286 47,048 70,572 94,096 141,144 188,192 282,288 376,384 564,576 752,768 1,129,152 2,258,304

Collatz Trajectory (60 steps to reach 1)

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

2,258,304 1,129,152 564,576 282,288 141,144 70,572 35,286 17,643 52,930 26,465 79,396 39,698 19,849 59,548 29,774 14,887 44,662 22,331 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2

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