467,836

2² × 116959

Starting at 467,836, the Collatz iteration reaches 1 after 200 steps. The first transition is 233918; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 116959

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 818,720

Proper Divisor Sum 350,884

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #467833 ← → #467867

Radix Representation

Decimal	467836
Binary	1110010001101111100 (19 bits)
Octal	0o1621574
Hexadecimal	0x7237C

Divisor Catalog (6)

1 2 4 116,959 233,918 467,836

Collatz Trajectory (200 steps to reach 1)

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

467,836 233,918 116,959 350,878 175,439 526,318 263,159 789,478 394,739 1,184,218 592,109 1,776,328 888,164 444,082 222,041 666,124 333,062 166,531 499,594 249,797 749,392 374,696 187,348 93,674 46,837 140,512 70,256 35,128 17,564 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818

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