λ
Sequence Observatory
Atlas › Integer Profiles › Node 2,202,388

2,202,388

22 × 23 × 37 × 647
Deficient Even Composite

Starting at 2,202,388, the Collatz iteration reaches 1 after 179 steps. The first transition is 1101194; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 37 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,136,832
Proper Divisor Sum 1,934,444
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2202379 ← → #2202391

Radix Representation

Decimal 2202388
Binary 1000011001101100010100 (22 bits)
Octal 0o10315424
Hexadecimal 0x219B14

Divisor Catalog (24)

1 2 4 23 37 46 74 92 148 647 851 1,294 1,702 2,588 3,404 14,881 23,939 29,762 47,878 59,524 95,756 550,597 1,101,194 2,202,388

Collatz Trajectory (179 steps to reach 1)

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

2,202,388 1,101,194 550,597 1,651,792 825,896 412,948 206,474 103,237 309,712 154,856 77,428 38,714 19,357 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330

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