λ
Prime Ledger

396,356

22 × 99089
Deficient Even Composite

396,356 has the prime decomposition 2^2 × 99089. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 99089
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 693,630
Proper Divisor Sum 297,274
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #396353 ← → #396373

Radix Representation

Decimal 396356
Binary 1100000110001000100 (19 bits)
Octal 0o1406104
Hexadecimal 0x60C44

Divisor Catalog (6)

1 2 4 99,089 198,178 396,356

Collatz Trajectory (99 steps to reach 1)

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

396,356 198,178 99,089 297,268 148,634 74,317 222,952 111,476 55,738 27,869 83,608 41,804 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516

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