501,075

3² × 5² × 17 × 131

501,075 factors as 3^2 × 5^2 × 17 × 131. Its 36 positive divisors give a proper-divisor sum of 456,453, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 17 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 957,528

Proper Divisor Sum 456,453

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #501043 ← → #501077

Radix Representation

Decimal	501075
Binary	1111010010101010011 (19 bits)
Octal	0o1722523
Hexadecimal	0x7A553

Divisor Catalog (36)

1 3 5 9 15 17 25 45 51 75 85 131 153 225 255 393 425 655 765 1,179 1,275 1,965 2,227 3,275 3,825 5,895 6,681 9,825 11,135 20,043 29,475 33,405 55,675 100,215 167,025 501,075

Collatz Trajectory (112 steps to reach 1)

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

501,075 1,503,226 751,613 2,254,840 1,127,420 563,710 281,855 845,566 422,783 1,268,350 634,175 1,902,526 951,263 2,853,790 1,426,895 4,280,686 2,140,343 6,421,030 3,210,515 9,631,546 4,815,773 14,447,320 7,223,660 3,611,830 1,805,915 5,417,746 2,708,873 8,126,620 4,063,310 2,031,655 6,094,966 3,047,483 9,142,450 4,571,225 13,713,676 6,856,838 3,428,419 10,285,258 5,142,629 15,427,888 7,713,944 3,856,972 1,928,486 964,243 2,892,730 1,446,365 4,339,096 2,169,548 1,084,774 542,387 1,627,162 813,581 2,440,744 1,220,372 610,186 305,093 915,280 457,640 228,820 114,410

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