5,857,299

3³ × 7 × 17 × 1823

Starting at 5,857,299, the Collatz iteration reaches 1 after 183 steps. The first transition is 17571898; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 17 × 1823

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,506,240

Proper Divisor Sum 4,648,941

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5857283 ← → #5857303

Radix Representation

Decimal	5857299
Binary	10110010110000000010011 (23 bits)
Octal	0o26260023
Hexadecimal	0x596013

Divisor Catalog (32)

1 3 7 9 17 21 27 51 63 119 153 189 357 459 1,071 1,823 3,213 5,469 12,761 16,407 30,991 38,283 49,221 92,973 114,849 216,937 278,919 344,547 650,811 836,757 1,952,433 5,857,299

Collatz Trajectory (183 steps to reach 1)

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

5,857,299 17,571,898 8,785,949 26,357,848 13,178,924 6,589,462 3,294,731 9,884,194 4,942,097 14,826,292 7,413,146 3,706,573 11,119,720 5,559,860 2,779,930 1,389,965 4,169,896 2,084,948 1,042,474 521,237 1,563,712 781,856 390,928 195,464 97,732 48,866 24,433 73,300 36,650 18,325 54,976 27,488 13,744 6,872 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208

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