527,151

3 × 199 × 883

527,151 factors as 3 × 199 × 883. Its 8 positive divisors give a proper-divisor sum of 180,049, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3 × 199 × 883

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 707,200

Proper Divisor Sum 180,049

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #527143 ← → #527159

Radix Representation

Decimal	527151
Binary	10000000101100101111 (20 bits)
Octal	0o2005457
Hexadecimal	0x80B2F

Divisor Catalog (8)

1 3 199 597 883 2,649 175,717 527,151

Collatz Trajectory (107 steps to reach 1)

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

527,151 1,581,454 790,727 2,372,182 1,186,091 3,558,274 1,779,137 5,337,412 2,668,706 1,334,353 4,003,060 2,001,530 1,000,765 3,002,296 1,501,148 750,574 375,287 1,125,862 562,931 1,688,794 844,397 2,533,192 1,266,596 633,298 316,649 949,948 474,974 237,487 712,462 356,231 1,068,694 534,347 1,603,042 801,521 2,404,564 1,202,282 601,141 1,803,424 901,712 450,856 225,428 112,714 56,357 169,072 84,536 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063

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