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Atlas › Integer Profiles › Node 3,549,656

3,549,656

23 × 112 × 19 × 193
Abundant Even Composite

3,549,656 factors as 2^3 × 11^2 × 19 × 193. Its 48 positive divisors give a proper-divisor sum of 4,190,944, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 19 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,740,600
Proper Divisor Sum 4,190,944
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3549649 ← → #3549673

Radix Representation

Decimal 3549656
Binary 1101100010100111011000 (22 bits)
Octal 0o15424730
Hexadecimal 0x3629D8

Divisor Catalog (48)

1 2 4 8 11 19 22 38 44 76 88 121 152 193 209 242 386 418 484 772 836 968 1,544 1,672 2,123 2,299 3,667 4,246 4,598 7,334 8,492 9,196 14,668 16,984 18,392 23,353 29,336 40,337 46,706 80,674 93,412 161,348 186,824 322,696 443,707 887,414 1,774,828 3,549,656

Collatz Trajectory (159 steps to reach 1)

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

3,549,656 1,774,828 887,414 443,707 1,331,122 665,561 1,996,684 998,342 499,171 1,497,514 748,757 2,246,272 1,123,136 561,568 280,784 140,392 70,196 35,098 17,549 52,648 26,324 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107

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