52,591,268

2² × 17 × 29 × 26669

52,591,268 factors as 2^2 × 17 × 29 × 26669. Its 24 positive divisors give a proper-divisor sum of 48,221,332, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 29 × 26669

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 100,812,600

Proper Divisor Sum 48,221,332

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #52591267 ← → #52591289

Radix Representation

Decimal	52591268
Binary	11001000100111101010100100 (26 bits)
Octal	0o310475244
Hexadecimal	0x3227AA4

Divisor Catalog (24)

Collatz Trajectory (225 steps to reach 1)

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

52,591,268 26,295,634 13,147,817 39,443,452 19,721,726 9,860,863 29,582,590 14,791,295 44,373,886 22,186,943 66,560,830 33,280,415 99,841,246 49,920,623 149,761,870 74,880,935 224,642,806 112,321,403 336,964,210 168,482,105 505,446,316 252,723,158 126,361,579 379,084,738 189,542,369 568,627,108 284,313,554 142,156,777 426,470,332 213,235,166 106,617,583 319,852,750 159,926,375 479,779,126 239,889,563 719,668,690 359,834,345 1,079,503,036 539,751,518 269,875,759 809,627,278 404,813,639 1,214,440,918 607,220,459 1,821,661,378 910,830,689 2,732,492,068 1,366,246,034 683,123,017 2,049,369,052 1,024,684,526 512,342,263 1,537,026,790 768,513,395 2,305,540,186 1,152,770,093 3,458,310,280 1,729,155,140 864,577,570 432,288,785

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