λ
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Atlas › Integer Profiles › Node 3,978,656

3,978,656

25 × 11 × 89 × 127
Abundant Even Composite

3,978,656 factors as 2^5 × 11 × 89 × 127. Its 48 positive divisors give a proper-divisor sum of 4,730,464, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 89 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,709,120
Proper Divisor Sum 4,730,464
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #3978643 ← → #3978659

Radix Representation

Decimal 3978656
Binary 1111001011010110100000 (22 bits)
Octal 0o17132640
Hexadecimal 0x3CB5A0

Divisor Catalog (48)

1 2 4 8 11 16 22 32 44 88 89 127 176 178 254 352 356 508 712 979 1,016 1,397 1,424 1,958 2,032 2,794 2,848 3,916 4,064 5,588 7,832 11,176 11,303 15,664 22,352 22,606 31,328 44,704 45,212 90,424 124,333 180,848 248,666 361,696 497,332 994,664 1,989,328 3,978,656

Collatz Trajectory (185 steps to reach 1)

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

3,978,656 1,989,328 994,664 497,332 248,666 124,333 373,000 186,500 93,250 46,625 139,876 69,938 34,969 104,908 52,454 26,227 78,682 39,341 118,024 59,012 29,506 14,753 44,260 22,130 11,065 33,196 16,598 8,299 24,898 12,449 37,348 18,674 9,337 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210

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