λ
Integer Codex

2,165,831

59 × 36709
Deficient Odd Composite

For 2,165,831, the 4 positive divisors have a total of 2,202,600. Removing 2,165,831 leaves 36,769, which gives the deficient classification.

Prime Factor Structure

Factorization String 59 × 36709
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,202,600
Proper Divisor Sum 36,769
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2165819 ← → #2165843

Radix Representation

Decimal 2165831
Binary 1000010000110001000111 (22 bits)
Octal 0o10206107
Hexadecimal 0x210C47

Divisor Catalog (4)

1 59 36,709 2,165,831

Collatz Trajectory (153 steps to reach 1)

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

2,165,831 6,497,494 3,248,747 9,746,242 4,873,121 14,619,364 7,309,682 3,654,841 10,964,524 5,482,262 2,741,131 8,223,394 4,111,697 12,335,092 6,167,546 3,083,773 9,251,320 4,625,660 2,312,830 1,156,415 3,469,246 1,734,623 5,203,870 2,601,935 7,805,806 3,902,903 11,708,710 5,854,355 17,563,066 8,781,533 26,344,600 13,172,300 6,586,150 3,293,075 9,879,226 4,939,613 14,818,840 7,409,420 3,704,710 1,852,355 5,557,066 2,778,533 8,335,600 4,167,800 2,083,900 1,041,950 520,975 1,562,926 781,463 2,344,390 1,172,195 3,516,586 1,758,293 5,274,880 2,637,440 1,318,720 659,360 329,680 164,840 82,420

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