977,577

3 × 37 × 8807

977,577 factors as 3 × 37 × 8807. Its 8 positive divisors give a proper-divisor sum of 361,239, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 3 × 37 × 8807

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,338,816

Proper Divisor Sum 361,239

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #977567 ← → #977591

Radix Representation

Decimal	977577
Binary	11101110101010101001 (20 bits)
Octal	0o3565251
Hexadecimal	0xEEAA9

Divisor Catalog (8)

1 3 37 111 8,807 26,421 325,859 977,577

Collatz Trajectory (227 steps to reach 1)

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

977,577 2,932,732 1,466,366 733,183 2,199,550 1,099,775 3,299,326 1,649,663 4,948,990 2,474,495 7,423,486 3,711,743 11,135,230 5,567,615 16,702,846 8,351,423 25,054,270 12,527,135 37,581,406 18,790,703 56,372,110 28,186,055 84,558,166 42,279,083 126,837,250 63,418,625 190,255,876 95,127,938 47,563,969 142,691,908 71,345,954 35,672,977 107,018,932 53,509,466 26,754,733 80,264,200 40,132,100 20,066,050 10,033,025 30,099,076 15,049,538 7,524,769 22,574,308 11,287,154 5,643,577 16,930,732 8,465,366 4,232,683 12,698,050 6,349,025 19,047,076 9,523,538 4,761,769 14,285,308 7,142,654 3,571,327 10,713,982 5,356,991 16,070,974 8,035,487

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