λ
Integer Codex

398,237

7 × 56891
Deficient Odd Composite

For 398,237, the 4 positive divisors have a total of 455,136. Removing 398,237 leaves 56,899, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 56891
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 455,136
Proper Divisor Sum 56,899
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #398227 ← → #398249

Radix Representation

Decimal 398237
Binary 1100001001110011101 (19 bits)
Octal 0o1411635
Hexadecimal 0x6139D

Divisor Catalog (4)

1 7 56,891 398,237

Collatz Trajectory (143 steps to reach 1)

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

398,237 1,194,712 597,356 298,678 149,339 448,018 224,009 672,028 336,014 168,007 504,022 252,011 756,034 378,017 1,134,052 567,026 283,513 850,540 425,270 212,635 637,906 318,953 956,860 478,430 239,215 717,646 358,823 1,076,470 538,235 1,614,706 807,353 2,422,060 1,211,030 605,515 1,816,546 908,273 2,724,820 1,362,410 681,205 2,043,616 1,021,808 510,904 255,452 127,726 63,863 191,590 95,795 287,386 143,693 431,080 215,540 107,770 53,885 161,656 80,828 40,414 20,207 60,622 30,311 90,934

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