6,450,096

2⁴ × 3 × 83 × 1619

Starting at 6,450,096, the Collatz iteration reaches 1 after 72 steps. The first transition is 3225048; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 83 × 1619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 16,873,920

Proper Divisor Sum 10,423,824

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6450091 ← → #6450107

Radix Representation

Decimal	6450096
Binary	11000100110101110110000 (23 bits)
Octal	0o30465660
Hexadecimal	0x626BB0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1,328 1,619 1,992 3,238 3,984 4,857 6,476 9,714 12,952 19,428 25,904 38,856 77,712 134,377 268,754 403,131 537,508 806,262 1,075,016 1,612,524 2,150,032 3,225,048 6,450,096

Collatz Trajectory (72 steps to reach 1)

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

6,450,096 3,225,048 1,612,524 806,262 403,131 1,209,394 604,697 1,814,092 907,046 453,523 1,360,570 680,285 2,040,856 1,020,428 510,214 255,107 765,322 382,661 1,147,984 573,992 286,996 143,498 71,749 215,248 107,624 53,812 26,906 13,453 40,360 20,180 10,090 5,045 15,136 7,568 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34

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