778,491

3⁴ × 7 × 1373

778,491 factors as 3^4 × 7 × 1373. Its 20 positive divisors give a proper-divisor sum of 551,541, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 3^4 × 7 × 1373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,330,032

Proper Divisor Sum 551,541

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #778469 ← → #778507

Radix Representation

Decimal	778491
Binary	10111110000011111011 (20 bits)
Octal	0o2760373
Hexadecimal	0xBE0FB

Divisor Catalog (20)

Collatz Trajectory (224 steps to reach 1)

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

778,491 2,335,474 1,167,737 3,503,212 1,751,606 875,803 2,627,410 1,313,705 3,941,116 1,970,558 985,279 2,955,838 1,477,919 4,433,758 2,216,879 6,650,638 3,325,319 9,975,958 4,987,979 14,963,938 7,481,969 22,445,908 11,222,954 5,611,477 16,834,432 8,417,216 4,208,608 2,104,304 1,052,152 526,076 263,038 131,519 394,558 197,279 591,838 295,919 887,758 443,879 1,331,638 665,819 1,997,458 998,729 2,996,188 1,498,094 749,047 2,247,142 1,123,571 3,370,714 1,685,357 5,056,072 2,528,036 1,264,018 632,009 1,896,028 948,014 474,007 1,422,022 711,011 2,133,034 1,066,517

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