2,267,730

2 × 3³ × 5 × 37 × 227

Starting at 2,267,730, the Collatz iteration reaches 1 after 179 steps. The first transition is 1133865; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 37 × 227

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 6,238,080

Proper Divisor Sum 3,970,350

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2267729 ← → #2267737

Radix Representation

Decimal	2267730
Binary	1000101001101001010010 (22 bits)
Octal	0o10515122
Hexadecimal	0x229A52

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 227 270 333 370 454 555 666 681 999 1,110 1,135 1,362 1,665 1,998 2,043 2,270 3,330 3,405 4,086 4,995 6,129 6,810 8,399 9,990 10,215 12,258 16,798 20,430 25,197 30,645 41,995 50,394 61,290 75,591 83,990 125,985 151,182 226,773 251,970 377,955

Collatz Trajectory (179 steps to reach 1)

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

2,267,730 1,133,865 3,401,596 1,700,798 850,399 2,551,198 1,275,599 3,826,798 1,913,399 5,740,198 2,870,099 8,610,298 4,305,149 12,915,448 6,457,724 3,228,862 1,614,431 4,843,294 2,421,647 7,264,942 3,632,471 10,897,414 5,448,707 16,346,122 8,173,061 24,519,184 12,259,592 6,129,796 3,064,898 1,532,449 4,597,348 2,298,674 1,149,337 3,448,012 1,724,006 862,003 2,586,010 1,293,005 3,879,016 1,939,508 969,754 484,877 1,454,632 727,316 363,658 181,829 545,488 272,744 136,372 68,186 34,093 102,280 51,140 25,570 12,785 38,356 19,178 9,589 28,768 14,384

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