300,055

5 × 7 × 8573

Starting at 300,055, the Collatz iteration reaches 1 after 88 steps. The first transition is 900166; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 8573

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 411,552

Proper Divisor Sum 111,497

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #300043 ← → #300073

Radix Representation

Decimal	300055
Binary	1001001010000010111 (19 bits)
Octal	0o1112027
Hexadecimal	0x49417

Divisor Catalog (8)

1 5 7 35 8,573 42,865 60,011 300,055

Collatz Trajectory (88 steps to reach 1)

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

300,055 900,166 450,083 1,350,250 675,125 2,025,376 1,012,688 506,344 253,172 126,586 63,293 189,880 94,940 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907

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