λ
Prime Ledger

437,858

2 × 37 × 61 × 97
Deficient Even Composite

437,858 has the prime decomposition 2 × 37 × 61 × 97. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 37 × 61 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 692,664
Proper Divisor Sum 254,806
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #437849 ← → #437861

Radix Representation

Decimal 437858
Binary 1101010111001100010 (19 bits)
Octal 0o1527142
Hexadecimal 0x6AE62

Divisor Catalog (16)

1 2 37 61 74 97 122 194 2,257 3,589 4,514 5,917 7,178 11,834 218,929 437,858

Collatz Trajectory (68 steps to reach 1)

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

437,858 218,929 656,788 328,394 164,197 492,592 246,296 123,148 61,574 30,787 92,362 46,181 138,544 69,272 34,636 17,318 8,659 25,978 12,989 38,968 19,484 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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