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Atlas › Integer Profiles › Node 28,865,536

28,865,536

210 × 7 × 4027
Abundant Even Composite

28,865,536 factors as 2^10 × 7 × 4027. Its 44 positive divisors give a proper-divisor sum of 37,096,992, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^10 × 7 × 4027
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 65,962,528
Proper Divisor Sum 37,096,992
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #28865533 ← → #28865537

Radix Representation

Decimal 28865536
Binary 1101110000111010000000000 (25 bits)
Octal 0o156072000
Hexadecimal 0x1B87400

Divisor Catalog (44)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1,024 1,792 3,584 4,027 7,168 8,054 16,108 28,189 32,216 56,378 64,432 112,756 128,864 225,512 257,728 451,024 515,456 902,048 1,030,912 1,804,096 2,061,824 3,608,192 4,123,648 7,216,384 14,432,768 28,865,536

Collatz Trajectory (118 steps to reach 1)

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

28,865,536 14,432,768 7,216,384 3,608,192 1,804,096 902,048 451,024 225,512 112,756 56,378 28,189 84,568 42,284 21,142 10,571 31,714 15,857 47,572 23,786 11,893 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096

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