704,125

5³ × 43 × 131

704,125 factors as 5^3 × 43 × 131. Its 16 positive divisors give a proper-divisor sum of 201,923, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 5^3 × 43 × 131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 906,048

Proper Divisor Sum 201,923

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #704117 ← → #704131

Radix Representation

Decimal	704125
Binary	10101011111001111101 (20 bits)
Octal	0o2537175
Hexadecimal	0xABE7D

Divisor Catalog (16)

1 5 25 43 125 131 215 655 1,075 3,275 5,375 5,633 16,375 28,165 140,825 704,125

Collatz Trajectory (79 steps to reach 1)

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

704,125 2,112,376 1,056,188 528,094 264,047 792,142 396,071 1,188,214 594,107 1,782,322 891,161 2,673,484 1,336,742 668,371 2,005,114 1,002,557 3,007,672 1,503,836 751,918 375,959 1,127,878 563,939 1,691,818 845,909 2,537,728 1,268,864 634,432 317,216 158,608 79,304 39,652 19,826 9,913 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746

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