λ
Integer Codex

1,800,191

1800191
Deficient Odd Prime

For 1,800,191, the 2 positive divisors have a total of 1,800,192. Removing 1,800,191 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1800191
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,800,192
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1800179 ← → #1800199

Radix Representation

Decimal 1800191
Binary 110110111011111111111 (21 bits)
Octal 0o6673777
Hexadecimal 0x1B77FF

Divisor Catalog (2)

Collatz Trajectory (370 steps to reach 1)

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

1,800,191 5,400,574 2,700,287 8,100,862 4,050,431 12,151,294 6,075,647 18,226,942 9,113,471 27,340,414 13,670,207 41,010,622 20,505,311 61,515,934 30,757,967 92,273,902 46,136,951 138,410,854 69,205,427 207,616,282 103,808,141 311,424,424 155,712,212 77,856,106 38,928,053 116,784,160 58,392,080 29,196,040 14,598,020 7,299,010 3,649,505 10,948,516 5,474,258 2,737,129 8,211,388 4,105,694 2,052,847 6,158,542 3,079,271 9,237,814 4,618,907 13,856,722 6,928,361 20,785,084 10,392,542 5,196,271 15,588,814 7,794,407 23,383,222 11,691,611 35,074,834 17,537,417 52,612,252 26,306,126 13,153,063 39,459,190 19,729,595 59,188,786 29,594,393 88,783,180

More profiles

← Previous Integer #1,800,190 Browse Full Index Next Integer #1,800,192 →