4,583,364

2² × 3 × 193 × 1979

Starting at 4,583,364, the Collatz iteration reaches 1 after 105 steps. The first transition is 2291682; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 193 × 1979

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,755,360

Proper Divisor Sum 6,171,996

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4583339 ← → #4583377

Radix Representation

Decimal	4583364
Binary	10001011110111111000100 (23 bits)
Octal	0o21367704
Hexadecimal	0x45EFC4

Divisor Catalog (24)

1 2 3 4 6 12 193 386 579 772 1,158 1,979 2,316 3,958 5,937 7,916 11,874 23,748 381,947 763,894 1,145,841 1,527,788 2,291,682 4,583,364

Collatz Trajectory (105 steps to reach 1)

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

4,583,364 2,291,682 1,145,841 3,437,524 1,718,762 859,381 2,578,144 1,289,072 644,536 322,268 161,134 80,567 241,702 120,851 362,554 181,277 543,832 271,916 135,958 67,979 203,938 101,969 305,908 152,954 76,477 229,432 114,716 57,358 28,679 86,038 43,019 129,058 64,529 193,588 96,794 48,397 145,192 72,596 36,298 18,149 54,448 27,224 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809

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