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Atlas › Integer Profiles › Node 38,643,136

38,643,136

26 × 7 × 86257
Abundant Even Composite

38,643,136 factors as 2^6 × 7 × 86257. Its 28 positive divisors give a proper-divisor sum of 48,994,992, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 86257
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 87,638,128
Proper Divisor Sum 48,994,992
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #38643127 ← → #38643139

Radix Representation

Decimal 38643136
Binary 10010011011010010111000000 (26 bits)
Octal 0o223322700
Hexadecimal 0x24DA5C0

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 112 224 448 86,257 172,514 345,028 603,799 690,056 1,207,598 1,380,112 2,415,196 2,760,224 4,830,392 5,520,448 9,660,784 19,321,568 38,643,136

Collatz Trajectory (121 steps to reach 1)

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

38,643,136 19,321,568 9,660,784 4,830,392 2,415,196 1,207,598 603,799 1,811,398 905,699 2,717,098 1,358,549 4,075,648 2,037,824 1,018,912 509,456 254,728 127,364 63,682 31,841 95,524 47,762 23,881 71,644 35,822 17,911 53,734 26,867 80,602 40,301 120,904 60,452 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135

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