λ
Prime Ledger

404,494

2 × 263 × 769
Deficient Even Composite

404,494 has the prime decomposition 2 × 263 × 769. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 263 × 769
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 609,840
Proper Divisor Sum 205,346
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #404489 ← → #404497

Radix Representation

Decimal 404494
Binary 1100010110000001110 (19 bits)
Octal 0o1426016
Hexadecimal 0x62C0E

Divisor Catalog (8)

1 2 263 526 769 1,538 202,247 404,494

Collatz Trajectory (205 steps to reach 1)

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

404,494 202,247 606,742 303,371 910,114 455,057 1,365,172 682,586 341,293 1,023,880 511,940 255,970 127,985 383,956 191,978 95,989 287,968 143,984 71,992 35,996 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567

More profiles

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