λ
Sigma Notebook

2,228,503

523 × 4261
Deficient Odd Composite

2,228,503 is odd and not a perfect square. Its factorization is 523 × 4261 and its 4 divisors sum to 2,233,288.

Prime Factor Structure

Factorization String 523 × 4261
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,233,288
Proper Divisor Sum 4,785
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2228483 ← → #2228507

Radix Representation

Decimal 2228503
Binary 1000100000000100010111 (22 bits)
Octal 0o10400427
Hexadecimal 0x220117

Divisor Catalog (4)

1 523 4,261 2,228,503

Collatz Trajectory (192 steps to reach 1)

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

2,228,503 6,685,510 3,342,755 10,028,266 5,014,133 15,042,400 7,521,200 3,760,600 1,880,300 940,150 470,075 1,410,226 705,113 2,115,340 1,057,670 528,835 1,586,506 793,253 2,379,760 1,189,880 594,940 297,470 148,735 446,206 223,103 669,310 334,655 1,003,966 501,983 1,505,950 752,975 2,258,926 1,129,463 3,388,390 1,694,195 5,082,586 2,541,293 7,623,880 3,811,940 1,905,970 952,985 2,858,956 1,429,478 714,739 2,144,218 1,072,109 3,216,328 1,608,164 804,082 402,041 1,206,124 603,062 301,531 904,594 452,297 1,356,892 678,446 339,223 1,017,670 508,835

More profiles

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