478,316

2² × 197 × 607

For 478,316, the 12 positive divisors have a total of 842,688. Removing 478,316 leaves 364,372, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 197 × 607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 842,688

Proper Divisor Sum 364,372

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #478273 ← → #478321

Radix Representation

Decimal	478316
Binary	1110100110001101100 (19 bits)
Octal	0o1646154
Hexadecimal	0x74C6C

Divisor Catalog (12)

1 2 4 197 394 607 788 1,214 2,428 119,579 239,158 478,316

Collatz Trajectory (120 steps to reach 1)

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

478,316 239,158 119,579 358,738 179,369 538,108 269,054 134,527 403,582 201,791 605,374 302,687 908,062 454,031 1,362,094 681,047 2,043,142 1,021,571 3,064,714 1,532,357 4,597,072 2,298,536 1,149,268 574,634 287,317 861,952 430,976 215,488 107,744 53,872 26,936 13,468 6,734 3,367 10,102 5,051 15,154 7,577 22,732 11,366 5,683 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037

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