963,594

2 × 3² × 17 × 47 × 67

Starting at 963,594, the Collatz iteration reaches 1 after 289 steps. The first transition is 481797; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 47 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,291,328

Proper Divisor Sum 1,327,734

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #963581 ← → #963601

Radix Representation

Decimal	963594
Binary	11101011010000001010 (20 bits)
Octal	0o3532012
Hexadecimal	0xEB40A

Divisor Catalog (48)

1 2 3 6 9 17 18 34 47 51 67 94 102 134 141 153 201 282 306 402 423 603 799 846 1,139 1,206 1,598 2,278 2,397 3,149 3,417 4,794 6,298 6,834 7,191 9,447 10,251 14,382 18,894 20,502 28,341 53,533 56,682 107,066 160,599 321,198 481,797 963,594

Collatz Trajectory (289 steps to reach 1)

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

963,594 481,797 1,445,392 722,696 361,348 180,674 90,337 271,012 135,506 67,753 203,260 101,630 50,815 152,446 76,223 228,670 114,335 343,006 171,503 514,510 257,255 771,766 385,883 1,157,650 578,825 1,736,476 868,238 434,119 1,302,358 651,179 1,953,538 976,769 2,930,308 1,465,154 732,577 2,197,732 1,098,866 549,433 1,648,300 824,150 412,075 1,236,226 618,113 1,854,340 927,170 463,585 1,390,756 695,378 347,689 1,043,068 521,534 260,767 782,302 391,151 1,173,454 586,727 1,760,182 880,091 2,640,274 1,320,137

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