852,745

5 × 29 × 5881

852,745 factors as 5 × 29 × 5881. Its 8 positive divisors give a proper-divisor sum of 206,015, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 5 × 29 × 5881

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,058,760

Proper Divisor Sum 206,015

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #852689 ← → #852749

Radix Representation

Decimal	852745
Binary	11010000001100001001 (20 bits)
Octal	0o3201411
Hexadecimal	0xD0309

Divisor Catalog (8)

1 5 29 145 5,881 29,405 170,549 852,745

Collatz Trajectory (113 steps to reach 1)

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

852,745 2,558,236 1,279,118 639,559 1,918,678 959,339 2,878,018 1,439,009 4,317,028 2,158,514 1,079,257 3,237,772 1,618,886 809,443 2,428,330 1,214,165 3,642,496 1,821,248 910,624 455,312 227,656 113,828 56,914 28,457 85,372 42,686 21,343 64,030 32,015 96,046 48,023 144,070 72,035 216,106 108,053 324,160 162,080 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902

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