λ
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2,155,802

2 × 11 × 29 × 31 × 109
Deficient Even Composite

2,155,802 factors as 2 × 11 × 29 × 31 × 109. Its 32 positive divisors give a proper-divisor sum of 1,645,798, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 11 × 29 × 31 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,801,600
Proper Divisor Sum 1,645,798
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2155799 ← → #2155837

Radix Representation

Decimal 2155802
Binary 1000001110010100011010 (22 bits)
Octal 0o10162432
Hexadecimal 0x20E51A

Divisor Catalog (32)

1 2 11 22 29 31 58 62 109 218 319 341 638 682 899 1,199 1,798 2,398 3,161 3,379 6,322 6,758 9,889 19,778 34,771 37,169 69,542 74,338 97,991 195,982 1,077,901 2,155,802

Collatz Trajectory (104 steps to reach 1)

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

2,155,802 1,077,901 3,233,704 1,616,852 808,426 404,213 1,212,640 606,320 303,160 151,580 75,790 37,895 113,686 56,843 170,530 85,265 255,796 127,898 63,949 191,848 95,924 47,962 23,981 71,944 35,972 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382

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