2,398,305

3 × 5 × 7² × 13 × 251

Starting at 2,398,305, the Collatz iteration reaches 1 after 143 steps. The first transition is 7194916; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 13 × 251

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,826,304

Proper Divisor Sum 2,427,999

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2398301 ← → #2398307

Radix Representation

Decimal	2398305
Binary	1001001001100001100001 (22 bits)
Octal	0o11114141
Hexadecimal	0x249861

Divisor Catalog (48)

1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 251 273 455 637 735 753 1,255 1,365 1,757 1,911 3,185 3,263 3,765 5,271 8,785 9,555 9,789 12,299 16,315 22,841 26,355 36,897 48,945 61,495 68,523 114,205 159,887 184,485 342,615 479,661 799,435 2,398,305

Collatz Trajectory (143 steps to reach 1)

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

2,398,305 7,194,916 3,597,458 1,798,729 5,396,188 2,698,094 1,349,047 4,047,142 2,023,571 6,070,714 3,035,357 9,106,072 4,553,036 2,276,518 1,138,259 3,414,778 1,707,389 5,122,168 2,561,084 1,280,542 640,271 1,920,814 960,407 2,881,222 1,440,611 4,321,834 2,160,917 6,482,752 3,241,376 1,620,688 810,344 405,172 202,586 101,293 303,880 151,940 75,970 37,985 113,956 56,978 28,489 85,468 42,734 21,367 64,102 32,051 96,154 48,077 144,232 72,116 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214

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