478,205

5 × 7 × 13 × 1051

478,205 factors as 5 × 7 × 13 × 1051. Its 16 positive divisors give a proper-divisor sum of 228,739, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 1051

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 706,944

Proper Divisor Sum 228,739

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #478199 ← → #478207

Radix Representation

Decimal	478205
Binary	1110100101111111101 (19 bits)
Octal	0o1645775
Hexadecimal	0x74BFD

Divisor Catalog (16)

1 5 7 13 35 65 91 455 1,051 5,255 7,357 13,663 36,785 68,315 95,641 478,205

Collatz Trajectory (182 steps to reach 1)

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

478,205 1,434,616 717,308 358,654 179,327 537,982 268,991 806,974 403,487 1,210,462 605,231 1,815,694 907,847 2,723,542 1,361,771 4,085,314 2,042,657 6,127,972 3,063,986 1,531,993 4,595,980 2,297,990 1,148,995 3,446,986 1,723,493 5,170,480 2,585,240 1,292,620 646,310 323,155 969,466 484,733 1,454,200 727,100 363,550 181,775 545,326 272,663 817,990 408,995 1,226,986 613,493 1,840,480 920,240 460,120 230,060 115,030 57,515 172,546 86,273 258,820 129,410 64,705 194,116 97,058 48,529 145,588 72,794 36,397 109,192

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