52,592,774

2 × 13 × 541 × 3739

52,592,774 factors as 2 × 13 × 541 × 3739. Its 16 positive divisors give a proper-divisor sum of 32,544,586, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 13 × 541 × 3739

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 85,137,360

Proper Divisor Sum 32,544,586

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #52592773 ← → #52592807

Radix Representation

Decimal	52592774
Binary	11001000101000000010000110 (26 bits)
Octal	0o310500206
Hexadecimal	0x3228086

Divisor Catalog (16)

1 2 13 26 541 1,082 3,739 7,033 7,478 14,066 48,607 97,214 2,022,799 4,045,598 26,296,387 52,592,774

Collatz Trajectory (155 steps to reach 1)

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

52,592,774 26,296,387 78,889,162 39,444,581 118,333,744 59,166,872 29,583,436 14,791,718 7,395,859 22,187,578 11,093,789 33,281,368 16,640,684 8,320,342 4,160,171 12,480,514 6,240,257 18,720,772 9,360,386 4,680,193 14,040,580 7,020,290 3,510,145 10,530,436 5,265,218 2,632,609 7,897,828 3,948,914 1,974,457 5,923,372 2,961,686 1,480,843 4,442,530 2,221,265 6,663,796 3,331,898 1,665,949 4,997,848 2,498,924 1,249,462 624,731 1,874,194 937,097 2,811,292 1,405,646 702,823 2,108,470 1,054,235 3,162,706 1,581,353 4,744,060 2,372,030 1,186,015 3,558,046 1,779,023 5,337,070 2,668,535 8,005,606 4,002,803 12,008,410

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