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Atlas › Integer Profiles › Node 5,488,448

5,488,448

26 × 7 × 12251
Abundant Even Composite

5,488,448 factors as 2^6 × 7 × 12251. Its 28 positive divisors give a proper-divisor sum of 6,959,584, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 12251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 12,448,032
Proper Divisor Sum 6,959,584
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5488447 ← → #5488459

Radix Representation

Decimal 5488448
Binary 10100111011111101000000 (23 bits)
Octal 0o24737500
Hexadecimal 0x53BF40

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 112 224 448 12,251 24,502 49,004 85,757 98,008 171,514 196,016 343,028 392,032 686,056 784,064 1,372,112 2,744,224 5,488,448

Collatz Trajectory (82 steps to reach 1)

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

5,488,448 2,744,224 1,372,112 686,056 343,028 171,514 85,757 257,272 128,636 64,318 32,159 96,478 48,239 144,718 72,359 217,078 108,539 325,618 162,809 488,428 244,214 122,107 366,322 183,161 549,484 274,742 137,371 412,114 206,057 618,172 309,086 154,543 463,630 231,815 695,446 347,723 1,043,170 521,585 1,564,756 782,378 391,189 1,173,568 586,784 293,392 146,696 73,348 36,674 18,337 55,012 27,506 13,753 41,260 20,630 10,315 30,946 15,473 46,420 23,210 11,605 34,816

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