4,657,338

2 × 3⁵ × 7 × 37²

Starting at 4,657,338, the Collatz iteration reaches 1 after 74 steps. The first transition is 2328669; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^5 × 7 × 37^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 12,291,552

Proper Divisor Sum 7,634,214

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4657321 ← → #4657343

Radix Representation

Decimal	4657338
Binary	10001110001000010111010 (23 bits)
Octal	0o21610272
Hexadecimal	0x4710BA

Divisor Catalog (60 of 72)

1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 243 259 333 378 486 518 567 666 777 999 1,134 1,369 1,554 1,701 1,998 2,331 2,738 2,997 3,402 4,107 4,662 5,994 6,993 8,214 8,991 9,583 12,321 13,986 17,982 19,166 20,979 24,642 28,749 36,963 41,958 57,498 62,937 73,926 86,247

Collatz Trajectory (74 steps to reach 1)

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

4,657,338 2,328,669 6,986,008 3,493,004 1,746,502 873,251 2,619,754 1,309,877 3,929,632 1,964,816 982,408 491,204 245,602 122,801 368,404 184,202 92,101 276,304 138,152 69,076 34,538 17,269 51,808 25,904 12,952 6,476 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23

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