λ
Integer Codex

375,393

3 × 125131
Deficient Odd Composite

For 375,393, the 4 positive divisors have a total of 500,528. Removing 375,393 leaves 125,135, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 125131
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 500,528
Proper Divisor Sum 125,135
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #375391 ← → #375407

Radix Representation

Decimal 375393
Binary 1011011101001100001 (19 bits)
Octal 0o1335141
Hexadecimal 0x5BA61

Divisor Catalog (4)

1 3 125,131 375,393

Collatz Trajectory (161 steps to reach 1)

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

375,393 1,126,180 563,090 281,545 844,636 422,318 211,159 633,478 316,739 950,218 475,109 1,425,328 712,664 356,332 178,166 89,083 267,250 133,625 400,876 200,438 100,219 300,658 150,329 450,988 225,494 112,747 338,242 169,121 507,364 253,682 126,841 380,524 190,262 95,131 285,394 142,697 428,092 214,046 107,023 321,070 160,535 481,606 240,803 722,410 361,205 1,083,616 541,808 270,904 135,452 67,726 33,863 101,590 50,795 152,386 76,193 228,580 114,290 57,145 171,436 85,718

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