λ
Integer Codex

4,137,395

5 × 349 × 2371
Deficient Odd Composite

For 4,137,395, the 8 positive divisors have a total of 4,981,200. Removing 4,137,395 leaves 843,805, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 349 × 2371
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,981,200
Proper Divisor Sum 843,805
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4137389 ← → #4137437

Radix Representation

Decimal 4137395
Binary 1111110010000110110011 (22 bits)
Octal 0o17620663
Hexadecimal 0x3F21B3

Divisor Catalog (8)

1 5 349 1,745 2,371 11,855 827,479 4,137,395

Collatz Trajectory (198 steps to reach 1)

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

4,137,395 12,412,186 6,206,093 18,618,280 9,309,140 4,654,570 2,327,285 6,981,856 3,490,928 1,745,464 872,732 436,366 218,183 654,550 327,275 981,826 490,913 1,472,740 736,370 368,185 1,104,556 552,278 276,139 828,418 414,209 1,242,628 621,314 310,657 931,972 465,986 232,993 698,980 349,490 174,745 524,236 262,118 131,059 393,178 196,589 589,768 294,884 147,442 73,721 221,164 110,582 55,291 165,874 82,937 248,812 124,406 62,203 186,610 93,305 279,916 139,958 69,979 209,938 104,969 314,908 157,454

More profiles

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