λ
Integer Codex

3,798,405

32 × 5 × 13 × 43 × 151
Deficient Odd Composite

For 3,798,405, the 48 positive divisors have a total of 7,303,296. Removing 3,798,405 leaves 3,504,891, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 43 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,303,296
Proper Divisor Sum 3,504,891
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3798397 ← → #3798407

Radix Representation

Decimal 3798405
Binary 1110011111010110000101 (22 bits)
Octal 0o16372605
Hexadecimal 0x39F585

Divisor Catalog (48)

1 3 5 9 13 15 39 43 45 65 117 129 151 195 215 387 453 559 585 645 755 1,359 1,677 1,935 1,963 2,265 2,795 5,031 5,889 6,493 6,795 8,385 9,815 17,667 19,479 25,155 29,445 32,465 58,437 84,409 88,335 97,395 253,227 292,185 422,045 759,681 1,266,135 3,798,405

Collatz Trajectory (128 steps to reach 1)

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

3,798,405 11,395,216 5,697,608 2,848,804 1,424,402 712,201 2,136,604 1,068,302 534,151 1,602,454 801,227 2,403,682 1,201,841 3,605,524 1,802,762 901,381 2,704,144 1,352,072 676,036 338,018 169,009 507,028 253,514 126,757 380,272 190,136 95,068 47,534 23,767 71,302 35,651 106,954 53,477 160,432 80,216 40,108 20,054 10,027 30,082 15,041 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346 3,173 9,520 4,760 2,380 1,190 595 1,786 893 2,680 1,340 670

More profiles

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