λ
Integer Codex

437,837

437837
Deficient Odd Prime

For 437,837, the 2 positive divisors have a total of 437,838. Removing 437,837 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 437837
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 437,838
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #437819 ← → #437849

Radix Representation

Decimal 437837
Binary 1101010111001001101 (19 bits)
Octal 0o1527115
Hexadecimal 0x6AE4D

Divisor Catalog (2)

Collatz Trajectory (68 steps to reach 1)

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

437,837 1,313,512 656,756 328,378 164,189 492,568 246,284 123,142 61,571 184,714 92,357 277,072 138,536 69,268 34,634 17,317 51,952 25,976 12,988 6,494 3,247 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80

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