λ
Integer Codex

142,592

28 × 557
Deficient Even Composite

For 142,592, the 18 positive divisors have a total of 285,138. Removing 142,592 leaves 142,546, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^8 × 557
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 285,138
Proper Divisor Sum 142,546
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #142591 ← → #142601

Radix Representation

Decimal 142592
Binary 100010110100000000 (18 bits)
Octal 0o426400
Hexadecimal 0x22D00

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 557 1,114 2,228 4,456 8,912 17,824 35,648 71,296 142,592

Collatz Trajectory (51 steps to reach 1)

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

142,592 71,296 35,648 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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