6,715,725

3 × 5² × 151 × 593

Starting at 6,715,725, the Collatz iteration reaches 1 after 116 steps. The first transition is 20147176; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 151 × 593

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,195,712

Proper Divisor Sum 4,479,987

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6715717 ← → #6715727

Radix Representation

Decimal	6715725
Binary	11001100111100101001101 (23 bits)
Octal	0o31474515
Hexadecimal	0x66794D

Divisor Catalog (24)

1 3 5 15 25 75 151 453 593 755 1,779 2,265 2,965 3,775 8,895 11,325 14,825 44,475 89,543 268,629 447,715 1,343,145 2,238,575 6,715,725

Collatz Trajectory (116 steps to reach 1)

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

6,715,725 20,147,176 10,073,588 5,036,794 2,518,397 7,555,192 3,777,596 1,888,798 944,399 2,833,198 1,416,599 4,249,798 2,124,899 6,374,698 3,187,349 9,562,048 4,781,024 2,390,512 1,195,256 597,628 298,814 149,407 448,222 224,111 672,334 336,167 1,008,502 504,251 1,512,754 756,377 2,269,132 1,134,566 567,283 1,701,850 850,925 2,552,776 1,276,388 638,194 319,097 957,292 478,646 239,323 717,970 358,985 1,076,956 538,478 269,239 807,718 403,859 1,211,578 605,789 1,817,368 908,684 454,342 227,171 681,514 340,757 1,022,272 511,136 255,568

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