6,224,300

2² × 5² × 67 × 929

Starting at 6,224,300, the Collatz iteration reaches 1 after 196 steps. The first transition is 3112150; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 67 × 929

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 13,723,080

Proper Divisor Sum 7,498,780

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #6224287 ← → #6224353

Radix Representation

Decimal	6224300
Binary	10111101111100110101100 (23 bits)
Octal	0o27574654
Hexadecimal	0x5EF9AC

Divisor Catalog (36)

1 2 4 5 10 20 25 50 67 100 134 268 335 670 929 1,340 1,675 1,858 3,350 3,716 4,645 6,700 9,290 18,580 23,225 46,450 62,243 92,900 124,486 248,972 311,215 622,430 1,244,860 1,556,075 3,112,150 6,224,300

Collatz Trajectory (196 steps to reach 1)

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

6,224,300 3,112,150 1,556,075 4,668,226 2,334,113 7,002,340 3,501,170 1,750,585 5,251,756 2,625,878 1,312,939 3,938,818 1,969,409 5,908,228 2,954,114 1,477,057 4,431,172 2,215,586 1,107,793 3,323,380 1,661,690 830,845 2,492,536 1,246,268 623,134 311,567 934,702 467,351 1,402,054 701,027 2,103,082 1,051,541 3,154,624 1,577,312 788,656 394,328 197,164 98,582 49,291 147,874 73,937 221,812 110,906 55,453 166,360 83,180 41,590 20,795 62,386 31,193 93,580 46,790 23,395 70,186 35,093 105,280 52,640 26,320 13,160 6,580

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