6,125,823

3² × 11 × 43 × 1439

Starting at 6,125,823, the Collatz iteration reaches 1 after 364 steps. The first transition is 18377470; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 43 × 1439

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,884,160

Proper Divisor Sum 3,758,337

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6125813 ← → #6125849

Radix Representation

Decimal	6125823
Binary	10111010111100011111111 (23 bits)
Octal	0o27274377
Hexadecimal	0x5D78FF

Divisor Catalog (24)

1 3 9 11 33 43 99 129 387 473 1,419 1,439 4,257 4,317 12,951 15,829 47,487 61,877 142,461 185,631 556,893 680,647 2,041,941 6,125,823

Collatz Trajectory (364 steps to reach 1)

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

6,125,823 18,377,470 9,188,735 27,566,206 13,783,103 41,349,310 20,674,655 62,023,966 31,011,983 93,035,950 46,517,975 139,553,926 69,776,963 209,330,890 104,665,445 313,996,336 156,998,168 78,499,084 39,249,542 19,624,771 58,874,314 29,437,157 88,311,472 44,155,736 22,077,868 11,038,934 5,519,467 16,558,402 8,279,201 24,837,604 12,418,802 6,209,401 18,628,204 9,314,102 4,657,051 13,971,154 6,985,577 20,956,732 10,478,366 5,239,183 15,717,550 7,858,775 23,576,326 11,788,163 35,364,490 17,682,245 53,046,736 26,523,368 13,261,684 6,630,842 3,315,421 9,946,264 4,973,132 2,486,566 1,243,283 3,729,850 1,864,925 5,594,776 2,797,388 1,398,694

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