52,592,516

2² × 199 × 66071

52,592,516 factors as 2^2 × 199 × 66071. Its 12 positive divisors give a proper-divisor sum of 39,908,284, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 199 × 66071

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 92,500,800

Proper Divisor Sum 39,908,284

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #52592473 ← → #52592531

Radix Representation

Decimal	52592516
Binary	11001000100111111110000100 (26 bits)
Octal	0o310477604
Hexadecimal	0x3227F84

Divisor Catalog (12)

1 2 4 199 398 796 66,071 132,142 264,284 13,148,129 26,296,258 52,592,516

Collatz Trajectory (155 steps to reach 1)

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

52,592,516 26,296,258 13,148,129 39,444,388 19,722,194 9,861,097 29,583,292 14,791,646 7,395,823 22,187,470 11,093,735 33,281,206 16,640,603 49,921,810 24,960,905 74,882,716 37,441,358 18,720,679 56,162,038 28,081,019 84,243,058 42,121,529 126,364,588 63,182,294 31,591,147 94,773,442 47,386,721 142,160,164 71,080,082 35,540,041 106,620,124 53,310,062 26,655,031 79,965,094 39,982,547 119,947,642 59,973,821 179,921,464 89,960,732 44,980,366 22,490,183 67,470,550 33,735,275 101,205,826 50,602,913 151,808,740 75,904,370 37,952,185 113,856,556 56,928,278 28,464,139 85,392,418 42,696,209 128,088,628 64,044,314 32,022,157 96,066,472 48,033,236 24,016,618 12,008,309

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