6,658,372

2² × 7 × 37 × 6427

Starting at 6,658,372, the Collatz iteration reaches 1 after 284 steps. The first transition is 3329186; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 37 × 6427

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,678,784

Proper Divisor Sum 7,020,412

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6658369 ← → #6658411

Radix Representation

Decimal	6658372
Binary	11001011001100101000100 (23 bits)
Octal	0o31314504
Hexadecimal	0x659944

Divisor Catalog (24)

1 2 4 7 14 28 37 74 148 259 518 1,036 6,427 12,854 25,708 44,989 89,978 179,956 237,799 475,598 951,196 1,664,593 3,329,186 6,658,372

Collatz Trajectory (284 steps to reach 1)

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

6,658,372 3,329,186 1,664,593 4,993,780 2,496,890 1,248,445 3,745,336 1,872,668 936,334 468,167 1,404,502 702,251 2,106,754 1,053,377 3,160,132 1,580,066 790,033 2,370,100 1,185,050 592,525 1,777,576 888,788 444,394 222,197 666,592 333,296 166,648 83,324 41,662 20,831 62,494 31,247 93,742 46,871 140,614 70,307 210,922 105,461 316,384 158,192 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420

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