52,213,625

5³ × 617 × 677

Prime Factor Structure

Factorization String 5^3 × 617 × 677

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 65,364,624

Proper Divisor Sum 13,150,999

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #52213619 ← → #52213631

Radix Representation

Decimal	52213625
Binary	11000111001011011101111001 (26 bits)
Octal	0o307133571
Hexadecimal	0x31CB779

Divisor Catalog (16)

1 5 25 125 617 677 3,085 3,385 15,425 16,925 77,125 84,625 417,709 2,088,545 10,442,725 52,213,625

Collatz Trajectory (150 steps to reach 1)

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

52,213,625 156,640,876 78,320,438 39,160,219 117,480,658 58,740,329 176,220,988 88,110,494 44,055,247 132,165,742 66,082,871 198,248,614 99,124,307 297,372,922 148,686,461 446,059,384 223,029,692 111,514,846 55,757,423 167,272,270 83,636,135 250,908,406 125,454,203 376,362,610 188,181,305 564,543,916 282,271,958 141,135,979 423,407,938 211,703,969 635,111,908 317,555,954 158,777,977 476,333,932 238,166,966 119,083,483 357,250,450 178,625,225 535,875,676 267,937,838 133,968,919 401,906,758 200,953,379 602,860,138 301,430,069 904,290,208 452,145,104 226,072,552 113,036,276 56,518,138 28,259,069 84,777,208 42,388,604 21,194,302 10,597,151 31,791,454 15,895,727 47,687,182 23,843,591 71,530,774

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