λ
Integer Codex

396,379

396379
Deficient Odd Prime

For 396,379, the 2 positive divisors have a total of 396,380. Removing 396,379 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 396379
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 396,380
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #396377 ← → #396413

Radix Representation

Decimal 396379
Binary 1100000110001011011 (19 bits)
Octal 0o1406133
Hexadecimal 0x60C5B

Divisor Catalog (2)

Collatz Trajectory (73 steps to reach 1)

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

396,379 1,189,138 594,569 1,783,708 891,854 445,927 1,337,782 668,891 2,006,674 1,003,337 3,010,012 1,505,006 752,503 2,257,510 1,128,755 3,386,266 1,693,133 5,079,400 2,539,700 1,269,850 634,925 1,904,776 952,388 476,194 238,097 714,292 357,146 178,573 535,720 267,860 133,930 66,965 200,896 100,448 50,224 25,112 12,556 6,278 3,139 9,418 4,709 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70

More profiles

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