4,798,629

3³ × 11 × 107 × 151

Starting at 4,798,629, the Collatz iteration reaches 1 after 92 steps. The first transition is 14395888; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 11 × 107 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,879,680

Proper Divisor Sum 3,081,051

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #4798627 ← → #4798639

Radix Representation

Decimal	4798629
Binary	10010010011100010100101 (23 bits)
Octal	0o22234245
Hexadecimal	0x4938A5

Divisor Catalog (32)

1 3 9 11 27 33 99 107 151 297 321 453 963 1,177 1,359 1,661 2,889 3,531 4,077 4,983 10,593 14,949 16,157 31,779 44,847 48,471 145,413 177,727 436,239 533,181 1,599,543 4,798,629

Collatz Trajectory (92 steps to reach 1)

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

4,798,629 14,395,888 7,197,944 3,598,972 1,799,486 899,743 2,699,230 1,349,615 4,048,846 2,024,423 6,073,270 3,036,635 9,109,906 4,554,953 13,664,860 6,832,430 3,416,215 10,248,646 5,124,323 15,372,970 7,686,485 23,059,456 11,529,728 5,764,864 2,882,432 1,441,216 720,608 360,304 180,152 90,076 45,038 22,519 67,558 33,779 101,338 50,669 152,008 76,004 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442

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