526,155

3 × 5 × 7 × 5011

526,155 factors as 3 × 5 × 7 × 5011. Its 16 positive divisors give a proper-divisor sum of 436,149, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 5011

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 962,304

Proper Divisor Sum 436,149

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #526139 ← → #526157

Radix Representation

Decimal	526155
Binary	10000000011101001011 (20 bits)
Octal	0o2003513
Hexadecimal	0x8074B

Divisor Catalog (16)

1 3 5 7 15 21 35 105 5,011 15,033 25,055 35,077 75,165 105,231 175,385 526,155

Collatz Trajectory (195 steps to reach 1)

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

526,155 1,578,466 789,233 2,367,700 1,183,850 591,925 1,775,776 887,888 443,944 221,972 110,986 55,493 166,480 83,240 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341

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