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Atlas › Integer Profiles › Node 3,758,656

3,758,656

26 × 11 × 19 × 281
Abundant Even Composite

3,758,656 factors as 2^6 × 11 × 19 × 281. Its 56 positive divisors give a proper-divisor sum of 4,836,704, so this integer is abundant. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 19 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 8,595,360
Proper Divisor Sum 4,836,704
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3758639 ← → #3758659

Radix Representation

Decimal 3758656
Binary 1110010101101001000000 (22 bits)
Octal 0o16255100
Hexadecimal 0x395A40

Divisor Catalog (56)

1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 281 304 352 418 562 608 704 836 1,124 1,216 1,672 2,248 3,091 3,344 4,496 5,339 6,182 6,688 8,992 10,678 12,364 13,376 17,984 21,356 24,728 42,712 49,456 58,729 85,424 98,912 117,458 170,848 197,824 234,916 341,696 469,832 939,664 1,879,328 3,758,656

Collatz Trajectory (53 steps to reach 1)

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

3,758,656 1,879,328 939,664 469,832 234,916 117,458 58,729 176,188 88,094 44,047 132,142 66,071 198,214 99,107 297,322 148,661 445,984 222,992 111,496 55,748 27,874 13,937 41,812 20,906 10,453 31,360 15,680 7,840 3,920 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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