53,222,013

3² × 13 × 454889

53,222,013 factors as 3^2 × 13 × 454889. Its 12 positive divisors give a proper-divisor sum of 29,567,967, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 454889

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 82,789,980

Proper Divisor Sum 29,567,967

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #53222011 ← → #53222027

Radix Representation

Decimal	53222013
Binary	11001011000001101001111101 (26 bits)
Octal	0o313015175
Hexadecimal	0x32C1A7D

Divisor Catalog (12)

1 3 9 13 39 117 454,889 1,364,667 4,094,001 5,913,557 17,740,671 53,222,013

Collatz Trajectory (168 steps to reach 1)

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

53,222,013 159,666,040 79,833,020 39,916,510 19,958,255 59,874,766 29,937,383 89,812,150 44,906,075 134,718,226 67,359,113 202,077,340 101,038,670 50,519,335 151,558,006 75,779,003 227,337,010 113,668,505 341,005,516 170,502,758 85,251,379 255,754,138 127,877,069 383,631,208 191,815,604 95,907,802 47,953,901 143,861,704 71,930,852 35,965,426 17,982,713 53,948,140 26,974,070 13,487,035 40,461,106 20,230,553 60,691,660 30,345,830 15,172,915 45,518,746 22,759,373 68,278,120 34,139,060 17,069,530 8,534,765 25,604,296 12,802,148 6,401,074 3,200,537 9,601,612 4,800,806 2,400,403 7,201,210 3,600,605 10,801,816 5,400,908 2,700,454 1,350,227 4,050,682 2,025,341

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