9,306,750

2 × 3 × 5³ × 12409

Starting at 9,306,750, the Collatz iteration reaches 1 after 437 steps. The first transition is 4653375; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 12409

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,231,520

Proper Divisor Sum 13,924,770

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9306749 ← → #9306757

Radix Representation

Decimal	9306750
Binary	100011100000001001111110 (24 bits)
Octal	0o43401176
Hexadecimal	0x8E027E

Divisor Catalog (32)

1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 12,409 24,818 37,227 62,045 74,454 124,090 186,135 310,225 372,270 620,450 930,675 1,551,125 1,861,350 3,102,250 4,653,375 9,306,750

Collatz Trajectory (437 steps to reach 1)

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

9,306,750 4,653,375 13,960,126 6,980,063 20,940,190 10,470,095 31,410,286 15,705,143 47,115,430 23,557,715 70,673,146 35,336,573 106,009,720 53,004,860 26,502,430 13,251,215 39,753,646 19,876,823 59,630,470 29,815,235 89,445,706 44,722,853 134,168,560 67,084,280 33,542,140 16,771,070 8,385,535 25,156,606 12,578,303 37,734,910 18,867,455 56,602,366 28,301,183 84,903,550 42,451,775 127,355,326 63,677,663 191,032,990 95,516,495 286,549,486 143,274,743 429,824,230 214,912,115 644,736,346 322,368,173 967,104,520 483,552,260 241,776,130 120,888,065 362,664,196 181,332,098 90,666,049 271,998,148 135,999,074 67,999,537 203,998,612 101,999,306 50,999,653 152,998,960 76,499,480

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