4,099,225

5² × 13 × 12613

Starting at 4,099,225, the Collatz iteration reaches 1 after 185 steps. The first transition is 12297676; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13 × 12613

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,474,476

Proper Divisor Sum 1,375,251

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4099213 ← → #4099229

Radix Representation

Decimal	4099225
Binary	1111101000110010011001 (22 bits)
Octal	0o17506231
Hexadecimal	0x3E8C99

Divisor Catalog (12)

1 5 13 25 65 325 12,613 63,065 163,969 315,325 819,845 4,099,225

Collatz Trajectory (185 steps to reach 1)

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

4,099,225 12,297,676 6,148,838 3,074,419 9,223,258 4,611,629 13,834,888 6,917,444 3,458,722 1,729,361 5,188,084 2,594,042 1,297,021 3,891,064 1,945,532 972,766 486,383 1,459,150 729,575 2,188,726 1,094,363 3,283,090 1,641,545 4,924,636 2,462,318 1,231,159 3,693,478 1,846,739 5,540,218 2,770,109 8,310,328 4,155,164 2,077,582 1,038,791 3,116,374 1,558,187 4,674,562 2,337,281 7,011,844 3,505,922 1,752,961 5,258,884 2,629,442 1,314,721 3,944,164 1,972,082 986,041 2,958,124 1,479,062 739,531 2,218,594 1,109,297 3,327,892 1,663,946 831,973 2,495,920 1,247,960 623,980 311,990 155,995

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