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Atlas › Integer Profiles › Node 2,808,732

2,808,732

22 × 3 × 19 × 97 × 127
Abundant Even Composite

2,808,732 factors as 2^2 × 3 × 19 × 97 × 127. Its 48 positive divisors give a proper-divisor sum of 4,215,908, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 97 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,024,640
Proper Divisor Sum 4,215,908
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2808721 ← → #2808733

Radix Representation

Decimal 2808732
Binary 1010101101101110011100 (22 bits)
Octal 0o12555634
Hexadecimal 0x2ADB9C

Divisor Catalog (48)

1 2 3 4 6 12 19 38 57 76 97 114 127 194 228 254 291 381 388 508 582 762 1,164 1,524 1,843 2,413 3,686 4,826 5,529 7,239 7,372 9,652 11,058 12,319 14,478 22,116 24,638 28,956 36,957 49,276 73,914 147,828 234,061 468,122 702,183 936,244 1,404,366 2,808,732

Collatz Trajectory (130 steps to reach 1)

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

2,808,732 1,404,366 702,183 2,106,550 1,053,275 3,159,826 1,579,913 4,739,740 2,369,870 1,184,935 3,554,806 1,777,403 5,332,210 2,666,105 7,998,316 3,999,158 1,999,579 5,998,738 2,999,369 8,998,108 4,499,054 2,249,527 6,748,582 3,374,291 10,122,874 5,061,437 15,184,312 7,592,156 3,796,078 1,898,039 5,694,118 2,847,059 8,541,178 4,270,589 12,811,768 6,405,884 3,202,942 1,601,471 4,804,414 2,402,207 7,206,622 3,603,311 10,809,934 5,404,967 16,214,902 8,107,451 24,322,354 12,161,177 36,483,532 18,241,766 9,120,883 27,362,650 13,681,325 41,043,976 20,521,988 10,260,994 5,130,497 15,391,492 7,695,746 3,847,873

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