λ
Ratio Atlas

52,265,755

5 × 107 × 211 × 463
Deficient Odd Composite

52,265,755 factors as 5 × 107 × 211 × 463. Its 16 positive divisors give a proper-divisor sum of 11,476,709, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 5 × 107 × 211 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 63,742,464
Proper Divisor Sum 11,476,709
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #52265753 ← → #52265761

Radix Representation

Decimal 52265755
Binary 11000111011000001100011011 (26 bits)
Octal 0o307301433
Hexadecimal 0x31D831B

Divisor Catalog (16)

Collatz Trajectory (225 steps to reach 1)

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

52,265,755 156,797,266 78,398,633 235,195,900 117,597,950 58,798,975 176,396,926 88,198,463 264,595,390 132,297,695 396,893,086 198,446,543 595,339,630 297,669,815 893,009,446 446,504,723 1,339,514,170 669,757,085 2,009,271,256 1,004,635,628 502,317,814 251,158,907 753,476,722 376,738,361 1,130,215,084 565,107,542 282,553,771 847,661,314 423,830,657 1,271,491,972 635,745,986 317,872,993 953,618,980 476,809,490 238,404,745 715,214,236 357,607,118 178,803,559 536,410,678 268,205,339 804,616,018 402,308,009 1,206,924,028 603,462,014 301,731,007 905,193,022 452,596,511 1,357,789,534 678,894,767 2,036,684,302 1,018,342,151 3,055,026,454 1,527,513,227 4,582,539,682 2,291,269,841 6,873,809,524 3,436,904,762 1,718,452,381 5,155,357,144 2,577,678,572

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