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Atlas › Integer Profiles › Node 38,531,936

38,531,936

25 × 109 × 11047
Deficient Even Composite

38,531,936 factors as 2^5 × 109 × 11047. Its 24 positive divisors give a proper-divisor sum of 38,030,704, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^5 × 109 × 11047
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 76,562,640
Proper Divisor Sum 38,030,704
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #38531893 ← → #38531939

Radix Representation

Decimal 38531936
Binary 10010010111111001101100000 (26 bits)
Octal 0o222771540
Hexadecimal 0x24BF360

Divisor Catalog (24)

1 2 4 8 16 32 109 218 436 872 1,744 3,488 11,047 22,094 44,188 88,376 176,752 353,504 1,204,123 2,408,246 4,816,492 9,632,984 19,265,968 38,531,936

Collatz Trajectory (240 steps to reach 1)

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

38,531,936 19,265,968 9,632,984 4,816,492 2,408,246 1,204,123 3,612,370 1,806,185 5,418,556 2,709,278 1,354,639 4,063,918 2,031,959 6,095,878 3,047,939 9,143,818 4,571,909 13,715,728 6,857,864 3,428,932 1,714,466 857,233 2,571,700 1,285,850 642,925 1,928,776 964,388 482,194 241,097 723,292 361,646 180,823 542,470 271,235 813,706 406,853 1,220,560 610,280 305,140 152,570 76,285 228,856 114,428 57,214 28,607 85,822 42,911 128,734 64,367 193,102 96,551 289,654 144,827 434,482 217,241 651,724 325,862 162,931 488,794 244,397

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