537,979

13 × 29 × 1427

Starting at 537,979, the Collatz iteration reaches 1 after 115 steps. The first transition is 1613938; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 29 × 1427

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 599,760

Proper Divisor Sum 61,781

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #537941 ← → #537991

Radix Representation

Decimal	537979
Binary	10000011010101111011 (20 bits)
Octal	0o2032573
Hexadecimal	0x8357B

Divisor Catalog (8)

1 13 29 377 1,427 18,551 41,383 537,979

Collatz Trajectory (115 steps to reach 1)

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

537,979 1,613,938 806,969 2,420,908 1,210,454 605,227 1,815,682 907,841 2,723,524 1,361,762 680,881 2,042,644 1,021,322 510,661 1,531,984 765,992 382,996 191,498 95,749 287,248 143,624 71,812 35,906 17,953 53,860 26,930 13,465 40,396 20,198 10,099 30,298 15,149 45,448 22,724 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418

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