5,693,004

2² × 3⁵ × 5857

Starting at 5,693,004, the Collatz iteration reaches 1 after 126 steps. The first transition is 2846502; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 5857

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,926,184

Proper Divisor Sum 9,233,180

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5692963 ← → #5693021

Radix Representation

Decimal	5693004
Binary	10101101101111001001100 (23 bits)
Octal	0o25557114
Hexadecimal	0x56DE4C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 5,857 11,714 17,571 23,428 35,142 52,713 70,284 105,426 158,139 210,852 316,278 474,417 632,556 948,834 1,423,251 1,897,668 2,846,502 5,693,004

Collatz Trajectory (126 steps to reach 1)

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

5,693,004 2,846,502 1,423,251 4,269,754 2,134,877 6,404,632 3,202,316 1,601,158 800,579 2,401,738 1,200,869 3,602,608 1,801,304 900,652 450,326 225,163 675,490 337,745 1,013,236 506,618 253,309 759,928 379,964 189,982 94,991 284,974 142,487 427,462 213,731 641,194 320,597 961,792 480,896 240,448 120,224 60,112 30,056 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006

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