λ
Sigma Notebook

5,437,632

26 × 3 × 127 × 223
Abundant Even Composite

5,437,632 is even and not a perfect square. Its factorization is 2^6 × 3 × 127 × 223 and its 56 divisors sum to 14,565,376.

Prime Factor Structure

Factorization String 2^6 × 3 × 127 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 14,565,376
Proper Divisor Sum 9,127,744
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5437613 ← → #5437639

Radix Representation

Decimal 5437632
Binary 10100101111100011000000 (23 bits)
Octal 0o24574300
Hexadecimal 0x52F8C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 223 254 381 446 508 669 762 892 1,016 1,338 1,524 1,784 2,032 2,676 3,048 3,568 4,064 5,352 6,096 7,136 8,128 10,704 12,192 14,272 21,408 24,384 28,321 42,816 56,642 84,963 113,284 169,926 226,568 339,852 453,136 679,704 906,272 1,359,408 1,812,544 2,718,816 5,437,632

Collatz Trajectory (64 steps to reach 1)

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

5,437,632 2,718,816 1,359,408 679,704 339,852 169,926 84,963 254,890 127,445 382,336 191,168 95,584 47,792 23,896 11,948 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

More profiles

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