λ
Matchaa Zalai

1,822,201

241 × 7561
Deficient Odd Composite

1,822,201 factors as 241 × 7561. Its 4 positive divisors give a proper-divisor sum of 7,803, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 241 × 7561
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,830,004
Proper Divisor Sum 7,803
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1822189 ← → #1822207

Radix Representation

Decimal 1822201
Binary 110111100110111111001 (21 bits)
Octal 0o6746771
Hexadecimal 0x1BCDF9

Divisor Catalog (4)

1 241 7,561 1,822,201

Collatz Trajectory (109 steps to reach 1)

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

1,822,201 5,466,604 2,733,302 1,366,651 4,099,954 2,049,977 6,149,932 3,074,966 1,537,483 4,612,450 2,306,225 6,918,676 3,459,338 1,729,669 5,189,008 2,594,504 1,297,252 648,626 324,313 972,940 486,470 243,235 729,706 364,853 1,094,560 547,280 273,640 136,820 68,410 34,205 102,616 51,308 25,654 12,827 38,482 19,241 57,724 28,862 14,431 43,294 21,647 64,942 32,471 97,414 48,707 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560

More profiles

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