6,181,752

2³ × 3 × 307 × 839

Starting at 6,181,752, the Collatz iteration reaches 1 after 139 steps. The first transition is 3090876; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 307 × 839

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,523,200

Proper Divisor Sum 9,341,448

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6181739 ← → #6181753

Radix Representation

Decimal	6181752
Binary	10111100101001101111000 (23 bits)
Octal	0o27451570
Hexadecimal	0x5E5378

Divisor Catalog (32)

1 2 3 4 6 8 12 24 307 614 839 921 1,228 1,678 1,842 2,456 2,517 3,356 3,684 5,034 6,712 7,368 10,068 20,136 257,573 515,146 772,719 1,030,292 1,545,438 2,060,584 3,090,876 6,181,752

Collatz Trajectory (139 steps to reach 1)

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

6,181,752 3,090,876 1,545,438 772,719 2,318,158 1,159,079 3,477,238 1,738,619 5,215,858 2,607,929 7,823,788 3,911,894 1,955,947 5,867,842 2,933,921 8,801,764 4,400,882 2,200,441 6,601,324 3,300,662 1,650,331 4,950,994 2,475,497 7,426,492 3,713,246 1,856,623 5,569,870 2,784,935 8,354,806 4,177,403 12,532,210 6,266,105 18,798,316 9,399,158 4,699,579 14,098,738 7,049,369 21,148,108 10,574,054 5,287,027 15,861,082 7,930,541 23,791,624 11,895,812 5,947,906 2,973,953 8,921,860 4,460,930 2,230,465 6,691,396 3,345,698 1,672,849 5,018,548 2,509,274 1,254,637 3,763,912 1,881,956 940,978 470,489 1,411,468

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