λ
Integer Codex

92,449

7 × 47 × 281
Deficient Odd Composite

For 92,449, the 8 positive divisors have a total of 108,288. Removing 92,449 leaves 15,839, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 47 × 281
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 108,288
Proper Divisor Sum 15,839
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #92431 ← → #92459

Radix Representation

Decimal 92449
Binary 10110100100100001 (17 bits)
Octal 0o264441
Hexadecimal 0x16921

Divisor Catalog (8)

1 7 47 281 329 1,967 13,207 92,449

Collatz Trajectory (133 steps to reach 1)

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

92,449 277,348 138,674 69,337 208,012 104,006 52,003 156,010 78,005 234,016 117,008 58,504 29,252 14,626 7,313 21,940 10,970 5,485 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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