6,616,507

313 × 21139

Starting at 6,616,507, the Collatz iteration reaches 1 after 147 steps. The first transition is 19849522; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 313 × 21139

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 6,637,960

Proper Divisor Sum 21,453

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6616499 ← → #6616513

Radix Representation

Decimal	6616507
Binary	11001001111010110111011 (23 bits)
Octal	0o31172673
Hexadecimal	0x64F5BB

Divisor Catalog (4)

1 313 21,139 6,616,507

Collatz Trajectory (147 steps to reach 1)

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

6,616,507 19,849,522 9,924,761 29,774,284 14,887,142 7,443,571 22,330,714 11,165,357 33,496,072 16,748,036 8,374,018 4,187,009 12,561,028 6,280,514 3,140,257 9,420,772 4,710,386 2,355,193 7,065,580 3,532,790 1,766,395 5,299,186 2,649,593 7,948,780 3,974,390 1,987,195 5,961,586 2,980,793 8,942,380 4,471,190 2,235,595 6,706,786 3,353,393 10,060,180 5,030,090 2,515,045 7,545,136 3,772,568 1,886,284 943,142 471,571 1,414,714 707,357 2,122,072 1,061,036 530,518 265,259 795,778 397,889 1,193,668 596,834 298,417 895,252 447,626 223,813 671,440 335,720 167,860 83,930 41,965

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