725,383

421 × 1723

Starting at 725,383, the Collatz iteration reaches 1 after 92 steps. The first transition is 2176150; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 421 × 1723

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 727,528

Proper Divisor Sum 2,145

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #725381 ← → #725393

Radix Representation

Decimal	725383
Binary	10110001000110000111 (20 bits)
Octal	0o2610607
Hexadecimal	0xB1187

Divisor Catalog (4)

1 421 1,723 725,383

Collatz Trajectory (92 steps to reach 1)

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

725,383 2,176,150 1,088,075 3,264,226 1,632,113 4,896,340 2,448,170 1,224,085 3,672,256 1,836,128 918,064 459,032 229,516 114,758 57,379 172,138 86,069 258,208 129,104 64,552 32,276 16,138 8,069 24,208 12,104 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769

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