6,198,339

3 × 7 × 23 × 41 × 313

Starting at 6,198,339, the Collatz iteration reaches 1 after 165 steps. The first transition is 18595018; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 41 × 313

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,128,384

Proper Divisor Sum 3,930,045

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6198331 ← → #6198341

Radix Representation

Decimal	6198339
Binary	10111101001010001000011 (23 bits)
Octal	0o27512103
Hexadecimal	0x5E9443

Divisor Catalog (32)

1 3 7 21 23 41 69 123 161 287 313 483 861 939 943 2,191 2,829 6,573 6,601 7,199 12,833 19,803 21,597 38,499 50,393 89,831 151,179 269,493 295,159 885,477 2,066,113 6,198,339

Collatz Trajectory (165 steps to reach 1)

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

6,198,339 18,595,018 9,297,509 27,892,528 13,946,264 6,973,132 3,486,566 1,743,283 5,229,850 2,614,925 7,844,776 3,922,388 1,961,194 980,597 2,941,792 1,470,896 735,448 367,724 183,862 91,931 275,794 137,897 413,692 206,846 103,423 310,270 155,135 465,406 232,703 698,110 349,055 1,047,166 523,583 1,570,750 785,375 2,356,126 1,178,063 3,534,190 1,767,095 5,301,286 2,650,643 7,951,930 3,975,965 11,927,896 5,963,948 2,981,974 1,490,987 4,472,962 2,236,481 6,709,444 3,354,722 1,677,361 5,032,084 2,516,042 1,258,021 3,774,064 1,887,032 943,516 471,758 235,879

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