52,548,076

2² × 7 × 1876717

52,548,076 factors as 2^2 × 7 × 1876717. Its 12 positive divisors give a proper-divisor sum of 52,548,132, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 1876717

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 105,096,208

Proper Divisor Sum 52,548,132

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #52548061 ← → #52548079

Radix Representation

Decimal	52548076
Binary	11001000011101000111101100 (26 bits)
Octal	0o310350754
Hexadecimal	0x321D1EC

Divisor Catalog (12)

1 2 4 7 14 28 1,876,717 3,753,434 7,506,868 13,137,019 26,274,038 52,548,076

Collatz Trajectory (168 steps to reach 1)

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

52,548,076 26,274,038 13,137,019 39,411,058 19,705,529 59,116,588 29,558,294 14,779,147 44,337,442 22,168,721 66,506,164 33,253,082 16,626,541 49,879,624 24,939,812 12,469,906 6,234,953 18,704,860 9,352,430 4,676,215 14,028,646 7,014,323 21,042,970 10,521,485 31,564,456 15,782,228 7,891,114 3,945,557 11,836,672 5,918,336 2,959,168 1,479,584 739,792 369,896 184,948 92,474 46,237 138,712 69,356 34,678 17,339 52,018 26,009 78,028 39,014 19,507 58,522 29,261 87,784 43,892 21,946 10,973 32,920 16,460 8,230 4,115 12,346 6,173 18,520 9,260

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