662,996

2² × 165749

Starting at 662,996, the Collatz iteration reaches 1 after 123 steps. The first transition is 331498; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 165749

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,160,250

Proper Divisor Sum 497,254

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #662957 ← → #662999

Radix Representation

Decimal	662996
Binary	10100001110111010100 (20 bits)
Octal	0o2416724
Hexadecimal	0xA1DD4

Divisor Catalog (6)

1 2 4 165,749 331,498 662,996

Collatz Trajectory (123 steps to reach 1)

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

662,996 331,498 165,749 497,248 248,624 124,312 62,156 31,078 15,539 46,618 23,309 69,928 34,964 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270

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