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Atlas › Integer Profiles › Node 38,366,608

38,366,608

24 × 73 × 6991
Abundant Even Composite

38,366,608 factors as 2^4 × 7^3 × 6991. Its 40 positive divisors give a proper-divisor sum of 48,334,192, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^4 × 7^3 × 6991
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 86,700,800
Proper Divisor Sum 48,334,192
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #38366597 ← → #38366609

Radix Representation

Decimal 38366608
Binary 10010010010110110110010000 (26 bits)
Octal 0o222266620
Hexadecimal 0x2496D90

Divisor Catalog (40)

1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1,372 2,744 5,488 6,991 13,982 27,964 48,937 55,928 97,874 111,856 195,748 342,559 391,496 685,118 782,992 1,370,236 2,397,913 2,740,472 4,795,826 5,480,944 9,591,652 19,183,304 38,366,608

Collatz Trajectory (121 steps to reach 1)

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

38,366,608 19,183,304 9,591,652 4,795,826 2,397,913 7,193,740 3,596,870 1,798,435 5,395,306 2,697,653 8,092,960 4,046,480 2,023,240 1,011,620 505,810 252,905 758,716 379,358 189,679 569,038 284,519 853,558 426,779 1,280,338 640,169 1,920,508 960,254 480,127 1,440,382 720,191 2,160,574 1,080,287 3,240,862 1,620,431 4,861,294 2,430,647 7,291,942 3,645,971 10,937,914 5,468,957 16,406,872 8,203,436 4,101,718 2,050,859 6,152,578 3,076,289 9,228,868 4,614,434 2,307,217 6,921,652 3,460,826 1,730,413 5,191,240 2,595,620 1,297,810 648,905 1,946,716 973,358 486,679 1,460,038

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