λ
Integer Codex

6,201,013

7 × 13 × 83 × 821
Deficient Odd Composite

For 6,201,013, the 16 positive divisors have a total of 7,733,376. Removing 6,201,013 leaves 1,532,363, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 13 × 83 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,733,376
Proper Divisor Sum 1,532,363
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #6200989 ← → #6201037

Radix Representation

Decimal 6201013
Binary 10111101001111010110101 (23 bits)
Octal 0o27517265
Hexadecimal 0x5E9EB5

Divisor Catalog (16)

1 7 13 83 91 581 821 1,079 5,747 7,553 10,673 68,143 74,711 477,001 885,859 6,201,013

Collatz Trajectory (103 steps to reach 1)

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

6,201,013 18,603,040 9,301,520 4,650,760 2,325,380 1,162,690 581,345 1,744,036 872,018 436,009 1,308,028 654,014 327,007 981,022 490,511 1,471,534 735,767 2,207,302 1,103,651 3,310,954 1,655,477 4,966,432 2,483,216 1,241,608 620,804 310,402 155,201 465,604 232,802 116,401 349,204 174,602 87,301 261,904 130,952 65,476 32,738 16,369 49,108 24,554 12,277 36,832 18,416 9,208 4,604 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364

More profiles

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