396,125

5³ × 3169

396,125 factors as 5^3 × 3169. Its 8 positive divisors give a proper-divisor sum of 98,395, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 5^3 × 3169

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 494,520

Proper Divisor Sum 98,395

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #396119 ← → #396157

Radix Representation

Decimal	396125
Binary	1100000101101011101 (19 bits)
Octal	0o1405535
Hexadecimal	0x60B5D

Divisor Catalog (8)

1 5 25 125 3,169 15,845 79,225 396,125

Collatz Trajectory (73 steps to reach 1)

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

396,125 1,188,376 594,188 297,094 148,547 445,642 222,821 668,464 334,232 167,116 83,558 41,779 125,338 62,669 188,008 94,004 47,002 23,501 70,504 35,252 17,626 8,813 26,440 13,220 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70

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