52,593,460

2² × 5 × 79 × 33287

52,593,460 factors as 2^2 × 5 × 79 × 33287. Its 24 positive divisors give a proper-divisor sum of 59,254,220, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 79 × 33287

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 111,847,680

Proper Divisor Sum 59,254,220

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #52593419 ← → #52593467

Radix Representation

Decimal	52593460
Binary	11001000101000001100110100 (26 bits)
Octal	0o310501464
Hexadecimal	0x3228334

Divisor Catalog (24)

Collatz Trajectory (155 steps to reach 1)

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

52,593,460 26,296,730 13,148,365 39,445,096 19,722,548 9,861,274 4,930,637 14,791,912 7,395,956 3,697,978 1,848,989 5,546,968 2,773,484 1,386,742 693,371 2,080,114 1,040,057 3,120,172 1,560,086 780,043 2,340,130 1,170,065 3,510,196 1,755,098 877,549 2,632,648 1,316,324 658,162 329,081 987,244 493,622 246,811 740,434 370,217 1,110,652 555,326 277,663 832,990 416,495 1,249,486 624,743 1,874,230 937,115 2,811,346 1,405,673 4,217,020 2,108,510 1,054,255 3,162,766 1,581,383 4,744,150 2,372,075 7,116,226 3,558,113 10,674,340 5,337,170 2,668,585 8,005,756 4,002,878 2,001,439

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