264,541

127 × 2083

Starting at 264,541, the Collatz iteration reaches 1 after 145 steps. The first transition is 793624; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 127 × 2083

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 266,752

Proper Divisor Sum 2,211

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #264529 ← → #264553

Radix Representation

Decimal	264541
Binary	1000000100101011101 (19 bits)
Octal	0o1004535
Hexadecimal	0x4095D

Divisor Catalog (4)

1 127 2,083 264,541

Collatz Trajectory (145 steps to reach 1)

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

264,541 793,624 396,812 198,406 99,203 297,610 148,805 446,416 223,208 111,604 55,802 27,901 83,704 41,852 20,926 10,463 31,390 15,695 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 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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