λ
Integer Codex

841,121

37 × 127 × 179
Deficient Odd Composite

For 841,121, the 8 positive divisors have a total of 875,520. Removing 841,121 leaves 34,399, which gives the deficient classification.

Prime Factor Structure

Factorization String 37 × 127 × 179
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 875,520
Proper Divisor Sum 34,399
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #841103 ← → #841147

Radix Representation

Decimal 841121
Binary 11001101010110100001 (20 bits)
Octal 0o3152641
Hexadecimal 0xCD5A1

Divisor Catalog (8)

1 37 127 179 4,699 6,623 22,733 841,121

Collatz Trajectory (219 steps to reach 1)

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

841,121 2,523,364 1,261,682 630,841 1,892,524 946,262 473,131 1,419,394 709,697 2,129,092 1,064,546 532,273 1,596,820 798,410 399,205 1,197,616 598,808 299,404 149,702 74,851 224,554 112,277 336,832 168,416 84,208 42,104 21,052 10,526 5,263 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345

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