4,834,225

5² × 11 × 17579

Starting at 4,834,225, the Collatz iteration reaches 1 after 118 steps. The first transition is 14502676; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 17579

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,539,760

Proper Divisor Sum 1,705,535

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4834223 ← → #4834229

Radix Representation

Decimal	4834225
Binary	10010011100001110110001 (23 bits)
Octal	0o22341661
Hexadecimal	0x49C3B1

Divisor Catalog (12)

1 5 11 25 55 275 17,579 87,895 193,369 439,475 966,845 4,834,225

Collatz Trajectory (118 steps to reach 1)

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

4,834,225 14,502,676 7,251,338 3,625,669 10,877,008 5,438,504 2,719,252 1,359,626 679,813 2,039,440 1,019,720 509,860 254,930 127,465 382,396 191,198 95,599 286,798 143,399 430,198 215,099 645,298 322,649 967,948 483,974 241,987 725,962 362,981 1,088,944 544,472 272,236 136,118 68,059 204,178 102,089 306,268 153,134 76,567 229,702 114,851 344,554 172,277 516,832 258,416 129,208 64,604 32,302 16,151 48,454 24,227 72,682 36,341 109,024 54,512 27,256 13,628 6,814 3,407 10,222 5,111

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