527,001

3 × 97 × 1811

527,001 factors as 3 × 97 × 1811. Its 8 positive divisors give a proper-divisor sum of 183,303, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 3 × 97 × 1811

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 710,304

Proper Divisor Sum 183,303

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #526997 ← → #527053

Radix Representation

Decimal	527001
Binary	10000000101010011001 (20 bits)
Octal	0o2005231
Hexadecimal	0x80A99

Divisor Catalog (8)

1 3 97 291 1,811 5,433 175,667 527,001

Collatz Trajectory (102 steps to reach 1)

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

527,001 1,581,004 790,502 395,251 1,185,754 592,877 1,778,632 889,316 444,658 222,329 666,988 333,494 166,747 500,242 250,121 750,364 375,182 187,591 562,774 281,387 844,162 422,081 1,266,244 633,122 316,561 949,684 474,842 237,421 712,264 356,132 178,066 89,033 267,100 133,550 66,775 200,326 100,163 300,490 150,245 450,736 225,368 112,684 56,342 28,171 84,514 42,257 126,772 63,386 31,693 95,080 47,540 23,770 11,885 35,656 17,828 8,914 4,457 13,372 6,686 3,343

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