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Atlas › Integer Profiles › Node 5,652,018

5,652,018

2 × 34 × 139 × 251
Abundant Even Composite

5,652,018 factors as 2 × 3^4 × 139 × 251. Its 40 positive divisors give a proper-divisor sum of 7,154,622, so this integer is abundant. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 139 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,806,640
Proper Divisor Sum 7,154,622
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5652011 ← → #5652019

Radix Representation

Decimal 5652018
Binary 10101100011111000110010 (23 bits)
Octal 0o25437062
Hexadecimal 0x563E32

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 139 162 251 278 417 502 753 834 1,251 1,506 2,259 2,502 3,753 4,518 6,777 7,506 11,259 13,554 20,331 22,518 34,889 40,662 69,778 104,667 209,334 314,001 628,002 942,003 1,884,006 2,826,009 5,652,018

Collatz Trajectory (276 steps to reach 1)

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

5,652,018 2,826,009 8,478,028 4,239,014 2,119,507 6,358,522 3,179,261 9,537,784 4,768,892 2,384,446 1,192,223 3,576,670 1,788,335 5,365,006 2,682,503 8,047,510 4,023,755 12,071,266 6,035,633 18,106,900 9,053,450 4,526,725 13,580,176 6,790,088 3,395,044 1,697,522 848,761 2,546,284 1,273,142 636,571 1,909,714 954,857 2,864,572 1,432,286 716,143 2,148,430 1,074,215 3,222,646 1,611,323 4,833,970 2,416,985 7,250,956 3,625,478 1,812,739 5,438,218 2,719,109 8,157,328 4,078,664 2,039,332 1,019,666 509,833 1,529,500 764,750 382,375 1,147,126 573,563 1,720,690 860,345 2,581,036 1,290,518

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