2,277,380

2² × 5 × 7 × 16267

Starting at 2,277,380, the Collatz iteration reaches 1 after 192 steps. The first transition is 1138690; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 16267

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,466,048

Proper Divisor Sum 3,188,668

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2277377 ← → #2277383

Radix Representation

Decimal	2277380
Binary	1000101100000000000100 (22 bits)
Octal	0o10540004
Hexadecimal	0x22C004

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 16,267 32,534 65,068 81,335 113,869 162,670 227,738 325,340 455,476 569,345 1,138,690 2,277,380

Collatz Trajectory (192 steps to reach 1)

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

2,277,380 1,138,690 569,345 1,708,036 854,018 427,009 1,281,028 640,514 320,257 960,772 480,386 240,193 720,580 360,290 180,145 540,436 270,218 135,109 405,328 202,664 101,332 50,666 25,333 76,000 38,000 19,000 9,500 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455

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