734,604

2² × 3 × 13 × 17 × 277

Starting at 734,604, the Collatz iteration reaches 1 after 35 steps. The first transition is 367302; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 17 × 277

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,961,568

Proper Divisor Sum 1,226,964

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #734567 ← → #734627

Radix Representation

Decimal	734604
Binary	10110011010110001100 (20 bits)
Octal	0o2632614
Hexadecimal	0xB358C

Divisor Catalog (48)

1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 277 442 554 663 831 884 1,108 1,326 1,662 2,652 3,324 3,601 4,709 7,202 9,418 10,803 14,127 14,404 18,836 21,606 28,254 43,212 56,508 61,217 122,434 183,651 244,868 367,302 734,604

Collatz Trajectory (35 steps to reach 1)

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

734,604 367,302 183,651 550,954 275,477 826,432 413,216 206,608 103,304 51,652 25,826 12,913 38,740 19,370 9,685 29,056 14,528 7,264 3,632 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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