4,505,721

3 × 11 × 136537

Starting at 4,505,721, the Collatz iteration reaches 1 after 255 steps. The first transition is 13517164; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 136537

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,553,824

Proper Divisor Sum 2,048,103

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4505719 ← → #4505729

Radix Representation

Decimal	4505721
Binary	10001001100000001111001 (23 bits)
Octal	0o21140171
Hexadecimal	0x44C079

Divisor Catalog (8)

1 3 11 33 136,537 409,611 1,501,907 4,505,721

Collatz Trajectory (255 steps to reach 1)

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

4,505,721 13,517,164 6,758,582 3,379,291 10,137,874 5,068,937 15,206,812 7,603,406 3,801,703 11,405,110 5,702,555 17,107,666 8,553,833 25,661,500 12,830,750 6,415,375 19,246,126 9,623,063 28,869,190 14,434,595 43,303,786 21,651,893 64,955,680 32,477,840 16,238,920 8,119,460 4,059,730 2,029,865 6,089,596 3,044,798 1,522,399 4,567,198 2,283,599 6,850,798 3,425,399 10,276,198 5,138,099 15,414,298 7,707,149 23,121,448 11,560,724 5,780,362 2,890,181 8,670,544 4,335,272 2,167,636 1,083,818 541,909 1,625,728 812,864 406,432 203,216 101,608 50,804 25,402 12,701 38,104 19,052 9,526 4,763

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