5,589,735

3 × 5 × 41 × 61 × 149

Starting at 5,589,735, the Collatz iteration reaches 1 after 183 steps. The first transition is 16769206; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 41 × 61 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,374,400

Proper Divisor Sum 3,784,665

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #5589733 ← → #5589739

Radix Representation

Decimal	5589735
Binary	10101010100101011100111 (23 bits)
Octal	0o25245347
Hexadecimal	0x554AE7

Divisor Catalog (32)

1 3 5 15 41 61 123 149 183 205 305 447 615 745 915 2,235 2,501 6,109 7,503 9,089 12,505 18,327 27,267 30,545 37,515 45,445 91,635 136,335 372,649 1,117,947 1,863,245 5,589,735

Collatz Trajectory (183 steps to reach 1)

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

5,589,735 16,769,206 8,384,603 25,153,810 12,576,905 37,730,716 18,865,358 9,432,679 28,298,038 14,149,019 42,447,058 21,223,529 63,670,588 31,835,294 15,917,647 47,752,942 23,876,471 71,629,414 35,814,707 107,444,122 53,722,061 161,166,184 80,583,092 40,291,546 20,145,773 60,437,320 30,218,660 15,109,330 7,554,665 22,663,996 11,331,998 5,665,999 16,997,998 8,498,999 25,496,998 12,748,499 38,245,498 19,122,749 57,368,248 28,684,124 14,342,062 7,171,031 21,513,094 10,756,547 32,269,642 16,134,821 48,404,464 24,202,232 12,101,116 6,050,558 3,025,279 9,075,838 4,537,919 13,613,758 6,806,879 20,420,638 10,210,319 30,630,958 15,315,479 45,946,438

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