λ
Zalai Atlas

2,225,941

67 × 33223
Deficient Odd Composite

2,225,941 has the prime decomposition 67 × 33223. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 67 × 33223
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,259,232
Proper Divisor Sum 33,291
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2225887 ← → #2225959

Radix Representation

Decimal 2225941
Binary 1000011111011100010101 (22 bits)
Octal 0o10373425
Hexadecimal 0x21F715

Divisor Catalog (4)

1 67 33,223 2,225,941

Collatz Trajectory (192 steps to reach 1)

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

2,225,941 6,677,824 3,338,912 1,669,456 834,728 417,364 208,682 104,341 313,024 156,512 78,256 39,128 19,564 9,782 4,891 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746

More profiles

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