λ
Integer Codex

1,820,521

1820521
Deficient Odd Prime

For 1,820,521, the 2 positive divisors have a total of 1,820,522. Removing 1,820,521 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1820521
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,820,522
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1820509 ← → #1820527

Radix Representation

Decimal 1820521
Binary 110111100011101101001 (21 bits)
Octal 0o6743551
Hexadecimal 0x1BC769

Divisor Catalog (2)

1 1,820,521

Collatz Trajectory (264 steps to reach 1)

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

1,820,521 5,461,564 2,730,782 1,365,391 4,096,174 2,048,087 6,144,262 3,072,131 9,216,394 4,608,197 13,824,592 6,912,296 3,456,148 1,728,074 864,037 2,592,112 1,296,056 648,028 324,014 162,007 486,022 243,011 729,034 364,517 1,093,552 546,776 273,388 136,694 68,347 205,042 102,521 307,564 153,782 76,891 230,674 115,337 346,012 173,006 86,503 259,510 129,755 389,266 194,633 583,900 291,950 145,975 437,926 218,963 656,890 328,445 985,336 492,668 246,334 123,167 369,502 184,751 554,254 277,127 831,382 415,691

More profiles

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