λ
Integer Codex

380,858

2 × 53 × 3593
Deficient Even Composite

For 380,858, the 8 positive divisors have a total of 582,228. Removing 380,858 leaves 201,370, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 53 × 3593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 582,228
Proper Divisor Sum 201,370
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #380843 ← → #380867

Radix Representation

Decimal 380858
Binary 1011100111110111010 (19 bits)
Octal 0o1347672
Hexadecimal 0x5CFBA

Divisor Catalog (8)

1 2 53 106 3,593 7,186 190,429 380,858

Collatz Trajectory (86 steps to reach 1)

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

380,858 190,429 571,288 285,644 142,822 71,411 214,234 107,117 321,352 160,676 80,338 40,169 120,508 60,254 30,127 90,382 45,191 135,574 67,787 203,362 101,681 305,044 152,522 76,261 228,784 114,392 57,196 28,598 14,299 42,898 21,449 64,348 32,174 16,087 48,262 24,131 72,394 36,197 108,592 54,296 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404

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