5,181,306

2 × 3 × 13 × 181 × 367

Starting at 5,181,306, the Collatz iteration reaches 1 after 281 steps. The first transition is 2590653; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 181 × 367

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,251,968

Proper Divisor Sum 6,070,662

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5181301 ← → #5181307

Radix Representation

Decimal	5181306
Binary	10011110000111101111010 (23 bits)
Octal	0o23607572
Hexadecimal	0x4F0F7A

Divisor Catalog (32)

1 2 3 6 13 26 39 78 181 362 367 543 734 1,086 1,101 2,202 2,353 4,706 4,771 7,059 9,542 14,118 14,313 28,626 66,427 132,854 199,281 398,562 863,551 1,727,102 2,590,653 5,181,306

Collatz Trajectory (281 steps to reach 1)

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

5,181,306 2,590,653 7,771,960 3,885,980 1,942,990 971,495 2,914,486 1,457,243 4,371,730 2,185,865 6,557,596 3,278,798 1,639,399 4,918,198 2,459,099 7,377,298 3,688,649 11,065,948 5,532,974 2,766,487 8,299,462 4,149,731 12,449,194 6,224,597 18,673,792 9,336,896 4,668,448 2,334,224 1,167,112 583,556 291,778 145,889 437,668 218,834 109,417 328,252 164,126 82,063 246,190 123,095 369,286 184,643 553,930 276,965 830,896 415,448 207,724 103,862 51,931 155,794 77,897 233,692 116,846 58,423 175,270 87,635 262,906 131,453 394,360 197,180

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