461,626

2 × 11 × 20983

Starting at 461,626, the Collatz iteration reaches 1 after 200 steps. The first transition is 230813; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 20983

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 755,424

Proper Divisor Sum 293,798

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #461609 ← → #461627

Radix Representation

Decimal	461626
Binary	1110000101100111010 (19 bits)
Octal	0o1605472
Hexadecimal	0x70B3A

Divisor Catalog (8)

1 2 11 22 20,983 41,966 230,813 461,626

Collatz Trajectory (200 steps to reach 1)

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

461,626 230,813 692,440 346,220 173,110 86,555 259,666 129,833 389,500 194,750 97,375 292,126 146,063 438,190 219,095 657,286 328,643 985,930 492,965 1,478,896 739,448 369,724 184,862 92,431 277,294 138,647 415,942 207,971 623,914 311,957 935,872 467,936 233,968 116,984 58,492 29,246 14,623 43,870 21,935 65,806 32,903 98,710 49,355 148,066 74,033 222,100 111,050 55,525 166,576 83,288 41,644 20,822 10,411 31,234 15,617 46,852 23,426 11,713 35,140 17,570

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