λ
Integer Codex

3,201,037

7 × 431 × 1061
Deficient Odd Composite

For 3,201,037, the 8 positive divisors have a total of 3,670,272. Removing 3,201,037 leaves 469,235, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 431 × 1061
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,670,272
Proper Divisor Sum 469,235
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3201007 ← → #3201043

Radix Representation

Decimal 3201037
Binary 1100001101100000001101 (22 bits)
Octal 0o14154015
Hexadecimal 0x30D80D

Divisor Catalog (8)

1 7 431 1,061 3,017 7,427 457,291 3,201,037

Collatz Trajectory (164 steps to reach 1)

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

3,201,037 9,603,112 4,801,556 2,400,778 1,200,389 3,601,168 1,800,584 900,292 450,146 225,073 675,220 337,610 168,805 506,416 253,208 126,604 63,302 31,651 94,954 47,477 142,432 71,216 35,608 17,804 8,902 4,451 13,354 6,677 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95

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