6,266,904

2³ × 3 × 7² × 73²

Starting at 6,266,904, the Collatz iteration reaches 1 after 108 steps. The first transition is 3133452; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 73^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 18,478,260

Proper Divisor Sum 12,211,356

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6266873 ← → #6266927

Radix Representation

Decimal	6266904
Binary	10111111010000000011000 (23 bits)
Octal	0o27720030
Hexadecimal	0x5FA018

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 73 84 98 146 147 168 196 219 292 294 392 438 511 584 588 876 1,022 1,176 1,533 1,752 2,044 3,066 3,577 4,088 5,329 6,132 7,154 10,658 10,731 12,264 14,308 15,987 21,316 21,462 28,616 31,974 37,303 42,632 42,924 63,948 74,606 85,848 111,909 127,896 149,212

Collatz Trajectory (108 steps to reach 1)

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

6,266,904 3,133,452 1,566,726 783,363 2,350,090 1,175,045 3,525,136 1,762,568 881,284 440,642 220,321 660,964 330,482 165,241 495,724 247,862 123,931 371,794 185,897 557,692 278,846 139,423 418,270 209,135 627,406 313,703 941,110 470,555 1,411,666 705,833 2,117,500 1,058,750 529,375 1,588,126 794,063 2,382,190 1,191,095 3,573,286 1,786,643 5,359,930 2,679,965 8,039,896 4,019,948 2,009,974 1,004,987 3,014,962 1,507,481 4,522,444 2,261,222 1,130,611 3,391,834 1,695,917 5,087,752 2,543,876 1,271,938 635,969 1,907,908 953,954 476,977 1,430,932

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