13,126,264

2³ × 19 × 86357

13,126,264 factors as 2^3 × 19 × 86357. Its 16 positive divisors give a proper-divisor sum of 12,781,136, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 86357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 25,907,400

Proper Divisor Sum 12,781,136

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #13126259 ← → #13126271

Radix Representation

Decimal	13126264
Binary	110010000100101001111000 (24 bits)
Octal	0o62045170
Hexadecimal	0xC84A78

Divisor Catalog (16)

1 2 4 8 19 38 76 152 86,357 172,714 345,428 690,856 1,640,783 3,281,566 6,563,132 13,126,264

Collatz Trajectory (197 steps to reach 1)

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

13,126,264 6,563,132 3,281,566 1,640,783 4,922,350 2,461,175 7,383,526 3,691,763 11,075,290 5,537,645 16,612,936 8,306,468 4,153,234 2,076,617 6,229,852 3,114,926 1,557,463 4,672,390 2,336,195 7,008,586 3,504,293 10,512,880 5,256,440 2,628,220 1,314,110 657,055 1,971,166 985,583 2,956,750 1,478,375 4,435,126 2,217,563 6,652,690 3,326,345 9,979,036 4,989,518 2,494,759 7,484,278 3,742,139 11,226,418 5,613,209 16,839,628 8,419,814 4,209,907 12,629,722 6,314,861 18,944,584 9,472,292 4,736,146 2,368,073 7,104,220 3,552,110 1,776,055 5,328,166 2,664,083 7,992,250 3,996,125 11,988,376 5,994,188 2,997,094

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