577,885

5 × 7 × 11 × 19 × 79

577,885 factors as 5 × 7 × 11 × 19 × 79. Its 32 positive divisors give a proper-divisor sum of 343,715, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 19 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 921,600

Proper Divisor Sum 343,715

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #577879 ← → #577897

Radix Representation

Decimal	577885
Binary	10001101000101011101 (20 bits)
Octal	0o2150535
Hexadecimal	0x8D15D

Divisor Catalog (32)

1 5 7 11 19 35 55 77 79 95 133 209 385 395 553 665 869 1,045 1,463 1,501 2,765 4,345 6,083 7,315 7,505 10,507 16,511 30,415 52,535 82,555 115,577 577,885

Collatz Trajectory (190 steps to reach 1)

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

577,885 1,733,656 866,828 433,414 216,707 650,122 325,061 975,184 487,592 243,796 121,898 60,949 182,848 91,424 45,712 22,856 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676

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