722,277

3⁴ × 37 × 241

Starting at 722,277, the Collatz iteration reaches 1 after 48 steps. The first transition is 2166832; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 37 × 241

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,112,716

Proper Divisor Sum 390,439

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #722273 ← → #722287

Radix Representation

Decimal	722277
Binary	10110000010101100101 (20 bits)
Octal	0o2602545
Hexadecimal	0xB0565

Divisor Catalog (20)

1 3 9 27 37 81 111 241 333 723 999 2,169 2,997 6,507 8,917 19,521 26,751 80,253 240,759 722,277

Collatz Trajectory (48 steps to reach 1)

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

722,277 2,166,832 1,083,416 541,708 270,854 135,427 406,282 203,141 609,424 304,712 152,356 76,178 38,089 114,268 57,134 28,567 85,702 42,851 128,554 64,277 192,832 96,416 48,208 24,104 12,052 6,026 3,013 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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