5,337,567

3² × 71 × 8353

Starting at 5,337,567, the Collatz iteration reaches 1 after 157 steps. The first transition is 16012702; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 71 × 8353

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,819,344

Proper Divisor Sum 2,481,777

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5337559 ← → #5337571

Radix Representation

Decimal	5337567
Binary	10100010111000111011111 (23 bits)
Octal	0o24270737
Hexadecimal	0x5171DF

Divisor Catalog (12)

1 3 9 71 213 639 8,353 25,059 75,177 593,063 1,779,189 5,337,567

Collatz Trajectory (157 steps to reach 1)

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

5,337,567 16,012,702 8,006,351 24,019,054 12,009,527 36,028,582 18,014,291 54,042,874 27,021,437 81,064,312 40,532,156 20,266,078 10,133,039 30,399,118 15,199,559 45,598,678 22,799,339 68,398,018 34,199,009 102,597,028 51,298,514 25,649,257 76,947,772 38,473,886 19,236,943 57,710,830 28,855,415 86,566,246 43,283,123 129,849,370 64,924,685 194,774,056 97,387,028 48,693,514 24,346,757 73,040,272 36,520,136 18,260,068 9,130,034 4,565,017 13,695,052 6,847,526 3,423,763 10,271,290 5,135,645 15,406,936 7,703,468 3,851,734 1,925,867 5,777,602 2,888,801 8,666,404 4,333,202 2,166,601 6,499,804 3,249,902 1,624,951 4,874,854 2,437,427 7,312,282

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