264,464

2⁴ × 16529

Starting at 264,464, the Collatz iteration reaches 1 after 145 steps. The first transition is 132232; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 16529

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 512,430

Proper Divisor Sum 247,966

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #264463 ← → #264487

Radix Representation

Decimal	264464
Binary	1000000100100010000 (19 bits)
Octal	0o1004420
Hexadecimal	0x40910

Divisor Catalog (10)

1 2 4 8 16 16,529 33,058 66,116 132,232 264,464

Collatz Trajectory (145 steps to reach 1)

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

264,464 132,232 66,116 33,058 16,529 49,588 24,794 12,397 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679

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