399,009

3 × 13² × 787

399,009 factors as 3 × 13^2 × 787. Its 12 positive divisors give a proper-divisor sum of 177,807, so this integer is deficient. The Collatz stopping time is 236 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 787

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 576,816

Proper Divisor Sum 177,807

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #398989 ← → #399023

Radix Representation

Decimal	399009
Binary	1100001011010100001 (19 bits)
Octal	0o1413241
Hexadecimal	0x616A1

Divisor Catalog (12)

1 3 13 39 169 507 787 2,361 10,231 30,693 133,003 399,009

Collatz Trajectory (236 steps to reach 1)

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

399,009 1,197,028 598,514 299,257 897,772 448,886 224,443 673,330 336,665 1,009,996 504,998 252,499 757,498 378,749 1,136,248 568,124 284,062 142,031 426,094 213,047 639,142 319,571 958,714 479,357 1,438,072 719,036 359,518 179,759 539,278 269,639 808,918 404,459 1,213,378 606,689 1,820,068 910,034 455,017 1,365,052 682,526 341,263 1,023,790 511,895 1,535,686 767,843 2,303,530 1,151,765 3,455,296 1,727,648 863,824 431,912 215,956 107,978 53,989 161,968 80,984 40,492 20,246 10,123 30,370 15,185

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