5,427,603

3² × 67 × 9001

Starting at 5,427,603, the Collatz iteration reaches 1 after 139 steps. The first transition is 16282810; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 67 × 9001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,957,768

Proper Divisor Sum 2,530,165

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5427593 ← → #5427629

Radix Representation

Decimal	5427603
Binary	10100101101000110010011 (23 bits)
Octal	0o24550623
Hexadecimal	0x52D193

Divisor Catalog (12)

1 3 9 67 201 603 9,001 27,003 81,009 603,067 1,809,201 5,427,603

Collatz Trajectory (139 steps to reach 1)

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

5,427,603 16,282,810 8,141,405 24,424,216 12,212,108 6,106,054 3,053,027 9,159,082 4,579,541 13,738,624 6,869,312 3,434,656 1,717,328 858,664 429,332 214,666 107,333 322,000 161,000 80,500 40,250 20,125 60,376 30,188 15,094 7,547 22,642 11,321 33,964 16,982 8,491 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445

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