λ
Integer Codex

349,997

107 × 3271
Deficient Odd Composite

For 349,997, the 4 positive divisors have a total of 353,376. Removing 349,997 leaves 3,379, which gives the deficient classification.

Prime Factor Structure

Factorization String 107 × 3271
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 353,376
Proper Divisor Sum 3,379
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #349981 ← → #350003

Radix Representation

Decimal 349997
Binary 1010101011100101101 (19 bits)
Octal 0o1253455
Hexadecimal 0x5572D

Divisor Catalog (4)

1 107 3,271 349,997

Collatz Trajectory (91 steps to reach 1)

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

349,997 1,049,992 524,996 262,498 131,249 393,748 196,874 98,437 295,312 147,656 73,828 36,914 18,457 55,372 27,686 13,843 41,530 20,765 62,296 31,148 15,574 7,787 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328

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