4,659,147

3³ × 172561

Starting at 4,659,147, the Collatz iteration reaches 1 after 149 steps. The first transition is 13977442; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 172561

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,902,480

Proper Divisor Sum 2,243,333

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4659131 ← → #4659181

Radix Representation

Decimal	4659147
Binary	10001110001011111001011 (23 bits)
Octal	0o21613713
Hexadecimal	0x4717CB

Divisor Catalog (8)

1 3 9 27 172,561 517,683 1,553,049 4,659,147

Collatz Trajectory (149 steps to reach 1)

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

4,659,147 13,977,442 6,988,721 20,966,164 10,483,082 5,241,541 15,724,624 7,862,312 3,931,156 1,965,578 982,789 2,948,368 1,474,184 737,092 368,546 184,273 552,820 276,410 138,205 414,616 207,308 103,654 51,827 155,482 77,741 233,224 116,612 58,306 29,153 87,460 43,730 21,865 65,596 32,798 16,399 49,198 24,599 73,798 36,899 110,698 55,349 166,048 83,024 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137

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