λ
Integer Codex

126,393

3 × 42131
Deficient Odd Composite

For 126,393, the 4 positive divisors have a total of 168,528. Removing 126,393 leaves 42,135, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 42131
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 168,528
Proper Divisor Sum 42,135
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #126359 ← → #126397

Radix Representation

Decimal 126393
Binary 11110110110111001 (17 bits)
Octal 0o366671
Hexadecimal 0x1EDB9

Divisor Catalog (4)

1 3 42,131 126,393

Collatz Trajectory (105 steps to reach 1)

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

126,393 379,180 189,590 94,795 284,386 142,193 426,580 213,290 106,645 319,936 159,968 79,984 39,992 19,996 9,998 4,999 14,998 7,499 22,498 11,249 33,748 16,874 8,437 25,312 12,656 6,328 3,164 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

More profiles

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