2,725,105

5 × 79 × 6899

Starting at 2,725,105, the Collatz iteration reaches 1 after 169 steps. The first transition is 8175316; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 79 × 6899

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,312,000

Proper Divisor Sum 586,895

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2725057 ← → #2725127

Radix Representation

Decimal	2725105
Binary	1010011001010011110001 (22 bits)
Octal	0o12312361
Hexadecimal	0x2994F1

Divisor Catalog (8)

1 5 79 395 6,899 34,495 545,021 2,725,105

Collatz Trajectory (169 steps to reach 1)

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

2,725,105 8,175,316 4,087,658 2,043,829 6,131,488 3,065,744 1,532,872 766,436 383,218 191,609 574,828 287,414 143,707 431,122 215,561 646,684 323,342 161,671 485,014 242,507 727,522 363,761 1,091,284 545,642 272,821 818,464 409,232 204,616 102,308 51,154 25,577 76,732 38,366 19,183 57,550 28,775 86,326 43,163 129,490 64,745 194,236 97,118 48,559 145,678 72,839 218,518 109,259 327,778 163,889 491,668 245,834 122,917 368,752 184,376 92,188 46,094 23,047 69,142 34,571 103,714

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