397,989

3² × 44221

Starting at 397,989, the Collatz iteration reaches 1 after 192 steps. The first transition is 1193968; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 44221

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 574,886

Proper Divisor Sum 176,897

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #397981 ← → #398011

Radix Representation

Decimal	397989
Binary	1100001001010100101 (19 bits)
Octal	0o1411245
Hexadecimal	0x612A5

Divisor Catalog (6)

1 3 9 44,221 132,663 397,989

Collatz Trajectory (192 steps to reach 1)

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

397,989 1,193,968 596,984 298,492 149,246 74,623 223,870 111,935 335,806 167,903 503,710 251,855 755,566 377,783 1,133,350 566,675 1,700,026 850,013 2,550,040 1,275,020 637,510 318,755 956,266 478,133 1,434,400 717,200 358,600 179,300 89,650 44,825 134,476 67,238 33,619 100,858 50,429 151,288 75,644 37,822 18,911 56,734 28,367 85,102 42,551 127,654 63,827 191,482 95,741 287,224 143,612 71,806 35,903 107,710 53,855 161,566 80,783 242,350 121,175 363,526 181,763 545,290

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