6,272,507

17 × 241 × 1531

Starting at 6,272,507, the Collatz iteration reaches 1 after 302 steps. The first transition is 18817522; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 241 × 1531

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,673,392

Proper Divisor Sum 400,885

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6272503 ← → #6272531

Radix Representation

Decimal	6272507
Binary	10111111011010111111011 (23 bits)
Octal	0o27732773
Hexadecimal	0x5FB5FB

Divisor Catalog (8)

1 17 241 1,531 4,097 26,027 368,971 6,272,507

Collatz Trajectory (302 steps to reach 1)

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

6,272,507 18,817,522 9,408,761 28,226,284 14,113,142 7,056,571 21,169,714 10,584,857 31,754,572 15,877,286 7,938,643 23,815,930 11,907,965 35,723,896 17,861,948 8,930,974 4,465,487 13,396,462 6,698,231 20,094,694 10,047,347 30,142,042 15,071,021 45,213,064 22,606,532 11,303,266 5,651,633 16,954,900 8,477,450 4,238,725 12,716,176 6,358,088 3,179,044 1,589,522 794,761 2,384,284 1,192,142 596,071 1,788,214 894,107 2,682,322 1,341,161 4,023,484 2,011,742 1,005,871 3,017,614 1,508,807 4,526,422 2,263,211 6,789,634 3,394,817 10,184,452 5,092,226 2,546,113 7,638,340 3,819,170 1,909,585 5,728,756 2,864,378 1,432,189

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