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Atlas › Integer Profiles › Node 5,649,448

5,649,448

23 × 7 × 79 × 1277
Abundant Even Composite

5,649,448 factors as 2^3 × 7 × 79 × 1277. Its 32 positive divisors give a proper-divisor sum of 6,619,352, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 79 × 1277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,268,800
Proper Divisor Sum 6,619,352
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5649439 ← → #5649451

Radix Representation

Decimal 5649448
Binary 10101100011010000101000 (23 bits)
Octal 0o25432050
Hexadecimal 0x563428

Divisor Catalog (32)

1 2 4 7 8 14 28 56 79 158 316 553 632 1,106 1,277 2,212 2,554 4,424 5,108 8,939 10,216 17,878 35,756 71,512 100,883 201,766 403,532 706,181 807,064 1,412,362 2,824,724 5,649,448

Collatz Trajectory (108 steps to reach 1)

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

5,649,448 2,824,724 1,412,362 706,181 2,118,544 1,059,272 529,636 264,818 132,409 397,228 198,614 99,307 297,922 148,961 446,884 223,442 111,721 335,164 167,582 83,791 251,374 125,687 377,062 188,531 565,594 282,797 848,392 424,196 212,098 106,049 318,148 159,074 79,537 238,612 119,306 59,653 178,960 89,480 44,740 22,370 11,185 33,556 16,778 8,389 25,168 12,584 6,292 3,146 1,573 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998

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