13,526,332

2² × 167 × 20249

13,526,332 factors as 2^2 × 167 × 20249. Its 12 positive divisors give a proper-divisor sum of 10,287,668, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 167 × 20249

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 23,814,000

Proper Divisor Sum 10,287,668

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #13526329 ← → #13526341

Radix Representation

Decimal	13526332
Binary	110011100110010100111100 (24 bits)
Octal	0o63462474
Hexadecimal	0xCE653C

Divisor Catalog (12)

1 2 4 167 334 668 20,249 40,498 80,996 3,381,583 6,763,166 13,526,332

Collatz Trajectory (117 steps to reach 1)

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

13,526,332 6,763,166 3,381,583 10,144,750 5,072,375 15,217,126 7,608,563 22,825,690 11,412,845 34,238,536 17,119,268 8,559,634 4,279,817 12,839,452 6,419,726 3,209,863 9,629,590 4,814,795 14,444,386 7,222,193 21,666,580 10,833,290 5,416,645 16,249,936 8,124,968 4,062,484 2,031,242 1,015,621 3,046,864 1,523,432 761,716 380,858 190,429 571,288 285,644 142,822 71,411 214,234 107,117 321,352 160,676 80,338 40,169 120,508 60,254 30,127 90,382 45,191 135,574 67,787 203,362 101,681 305,044 152,522 76,261 228,784 114,392 57,196 28,598 14,299

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