λ
Sigma Notebook

5,448,632

23 × 7 × 149 × 653
Abundant Even Composite

5,448,632 is even and not a perfect square. Its factorization is 2^3 × 7 × 149 × 653 and its 32 divisors sum to 11,772,000.

Prime Factor Structure

Factorization String 2^3 × 7 × 149 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,772,000
Proper Divisor Sum 6,323,368
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5448629 ← → #5448671

Radix Representation

Decimal 5448632
Binary 10100110010001110111000 (23 bits)
Octal 0o24621670
Hexadecimal 0x5323B8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 149 298 596 653 1,043 1,192 1,306 2,086 2,612 4,172 4,571 5,224 8,344 9,142 18,284 36,568 97,297 194,594 389,188 681,079 778,376 1,362,158 2,724,316 5,448,632

Collatz Trajectory (157 steps to reach 1)

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

5,448,632 2,724,316 1,362,158 681,079 2,043,238 1,021,619 3,064,858 1,532,429 4,597,288 2,298,644 1,149,322 574,661 1,723,984 861,992 430,996 215,498 107,749 323,248 161,624 80,812 40,406 20,203 60,610 30,305 90,916 45,458 22,729 68,188 34,094 17,047 51,142 25,571 76,714 38,357 115,072 57,536 28,768 14,384 7,192 3,596 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970

More profiles

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