λ
Integer Codex

341,957

7 × 11 × 4441
Deficient Odd Composite

For 341,957, the 8 positive divisors have a total of 426,432. Removing 341,957 leaves 84,475, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 11 × 4441
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 426,432
Proper Divisor Sum 84,475
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #341953 ← → #341959

Radix Representation

Decimal 341957
Binary 1010011011111000101 (19 bits)
Octal 0o1233705
Hexadecimal 0x537C5

Divisor Catalog (8)

1 7 11 77 4,441 31,087 48,851 341,957

Collatz Trajectory (52 steps to reach 1)

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

341,957 1,025,872 512,936 256,468 128,234 64,117 192,352 96,176 48,088 24,044 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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