1,592,125

5³ × 47 × 271

1,592,125 factors as 5^3 × 47 × 271. Its 16 positive divisors give a proper-divisor sum of 444,611, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 5^3 × 47 × 271

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,036,736

Proper Divisor Sum 444,611

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1592117 ← → #1592159

Radix Representation

Decimal	1592125
Binary	110000100101100111101 (21 bits)
Octal	0o6045475
Hexadecimal	0x184B3D

Divisor Catalog (16)

1 5 25 47 125 235 271 1,175 1,355 5,875 6,775 12,737 33,875 63,685 318,425 1,592,125

Collatz Trajectory (101 steps to reach 1)

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

1,592,125 4,776,376 2,388,188 1,194,094 597,047 1,791,142 895,571 2,686,714 1,343,357 4,030,072 2,015,036 1,007,518 503,759 1,511,278 755,639 2,266,918 1,133,459 3,400,378 1,700,189 5,100,568 2,550,284 1,275,142 637,571 1,912,714 956,357 2,869,072 1,434,536 717,268 358,634 179,317 537,952 268,976 134,488 67,244 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100

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