λ
Sigma Notebook

617,388

22 × 3 × 51449
Abundant Even Composite

617,388 is even and not a perfect square. Its factorization is 2^2 × 3 × 51449 and its 12 divisors sum to 1,440,600.

Prime Factor Structure

Factorization String 2^2 × 3 × 51449
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,440,600
Proper Divisor Sum 823,212
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #617387 ← → #617401

Radix Representation

Decimal 617388
Binary 10010110101110101100 (20 bits)
Octal 0o2265654
Hexadecimal 0x96BAC

Divisor Catalog (12)

1 2 3 4 6 12 51,449 102,898 154,347 205,796 308,694 617,388

Collatz Trajectory (172 steps to reach 1)

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

617,388 308,694 154,347 463,042 231,521 694,564 347,282 173,641 520,924 260,462 130,231 390,694 195,347 586,042 293,021 879,064 439,532 219,766 109,883 329,650 164,825 494,476 247,238 123,619 370,858 185,429 556,288 278,144 139,072 69,536 34,768 17,384 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109

More profiles

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