λ
Integer Codex

3,413,461

223 × 15307
Deficient Odd Composite

For 3,413,461, the 4 positive divisors have a total of 3,428,992. Removing 3,413,461 leaves 15,531, which gives the deficient classification.

Prime Factor Structure

Factorization String 223 × 15307
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,428,992
Proper Divisor Sum 15,531
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3413437 ← → #3413489

Radix Representation

Decimal 3413461
Binary 1101000001010111010101 (22 bits)
Octal 0o15012725
Hexadecimal 0x3415D5

Divisor Catalog (4)

1 223 15,307 3,413,461

Collatz Trajectory (177 steps to reach 1)

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

3,413,461 10,240,384 5,120,192 2,560,096 1,280,048 640,024 320,012 160,006 80,003 240,010 120,005 360,016 180,008 90,004 45,002 22,501 67,504 33,752 16,876 8,438 4,219 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688

More profiles

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