397,257

3 × 7 × 18917

Starting at 397,257, the Collatz iteration reaches 1 after 192 steps. The first transition is 1191772; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 18917

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 605,376

Proper Divisor Sum 208,119

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #397253 ← → #397259

Radix Representation

Decimal	397257
Binary	1100000111111001001 (19 bits)
Octal	0o1407711
Hexadecimal	0x60FC9

Divisor Catalog (8)

1 3 7 21 18,917 56,751 132,419 397,257

Collatz Trajectory (192 steps to reach 1)

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

397,257 1,191,772 595,886 297,943 893,830 446,915 1,340,746 670,373 2,011,120 1,005,560 502,780 251,390 125,695 377,086 188,543 565,630 282,815 848,446 424,223 1,272,670 636,335 1,909,006 954,503 2,863,510 1,431,755 4,295,266 2,147,633 6,442,900 3,221,450 1,610,725 4,832,176 2,416,088 1,208,044 604,022 302,011 906,034 453,017 1,359,052 679,526 339,763 1,019,290 509,645 1,528,936 764,468 382,234 191,117 573,352 286,676 143,338 71,669 215,008 107,504 53,752 26,876 13,438 6,719 20,158 10,079 30,238 15,119

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