26,653,624

2³ × 83 × 137 × 293

26,653,624 factors as 2^3 × 83 × 137 × 293. Its 32 positive divisors give a proper-divisor sum of 24,467,096, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 83 × 137 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 51,120,720

Proper Divisor Sum 24,467,096

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #26653621 ← → #26653657

Radix Representation

Decimal	26653624
Binary	1100101101011001110111000 (25 bits)
Octal	0o145531670
Hexadecimal	0x196B3B8

Divisor Catalog (32)

Collatz Trajectory (123 steps to reach 1)

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

26,653,624 13,326,812 6,663,406 3,331,703 9,995,110 4,997,555 14,992,666 7,496,333 22,489,000 11,244,500 5,622,250 2,811,125 8,433,376 4,216,688 2,108,344 1,054,172 527,086 263,543 790,630 395,315 1,185,946 592,973 1,778,920 889,460 444,730 222,365 667,096 333,548 166,774 83,387 250,162 125,081 375,244 187,622 93,811 281,434 140,717 422,152 211,076 105,538 52,769 158,308 79,154 39,577 118,732 59,366 29,683 89,050 44,525 133,576 66,788 33,394 16,697 50,092 25,046 12,523 37,570 18,785 56,356 28,178

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