λ
Integer Codex

575,384

23 × 71 × 1013
Deficient Even Composite

For 575,384, the 16 positive divisors have a total of 1,095,120. Removing 575,384 leaves 519,736, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 71 × 1013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,095,120
Proper Divisor Sum 519,736
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #575371 ← → #575401

Radix Representation

Decimal 575384
Binary 10001100011110011000 (20 bits)
Octal 0o2143630
Hexadecimal 0x8C798

Divisor Catalog (16)

1 2 4 8 71 142 284 568 1,013 2,026 4,052 8,104 71,923 143,846 287,692 575,384

Collatz Trajectory (190 steps to reach 1)

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

575,384 287,692 143,846 71,923 215,770 107,885 323,656 161,828 80,914 40,457 121,372 60,686 30,343 91,030 45,515 136,546 68,273 204,820 102,410 51,205 153,616 76,808 38,404 19,202 9,601 28,804 14,402 7,201 21,604 10,802 5,401 16,204 8,102 4,051 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653

More profiles

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