2,522,820

2² × 3 × 5 × 19 × 2213

Starting at 2,522,820, the Collatz iteration reaches 1 after 218 steps. The first transition is 1261410; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 19 × 2213

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,439,040

Proper Divisor Sum 4,916,220

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2522813 ← → #2522827

Radix Representation

Decimal	2522820
Binary	1001100111111011000100 (22 bits)
Octal	0o11477304
Hexadecimal	0x267EC4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1,140 2,213 4,426 6,639 8,852 11,065 13,278 22,130 26,556 33,195 42,047 44,260 66,390 84,094 126,141 132,780 168,188 210,235 252,282 420,470 504,564 630,705 840,940 1,261,410 2,522,820

Collatz Trajectory (218 steps to reach 1)

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

2,522,820 1,261,410 630,705 1,892,116 946,058 473,029 1,419,088 709,544 354,772 177,386 88,693 266,080 133,040 66,520 33,260 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036

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