977,438

2 × 7 × 11² × 577

For 977,438, the 24 positive divisors have a total of 1,844,976. Removing 977,438 leaves 867,538, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 11^2 × 577

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,844,976

Proper Divisor Sum 867,538

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #977437 ← → #977447

Radix Representation

Decimal	977438
Binary	11101110101000011110 (20 bits)
Octal	0o3565036
Hexadecimal	0xEEA1E

Divisor Catalog (24)

1 2 7 11 14 22 77 121 154 242 577 847 1,154 1,694 4,039 6,347 8,078 12,694 44,429 69,817 88,858 139,634 488,719 977,438

Collatz Trajectory (152 steps to reach 1)

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

977,438 488,719 1,466,158 733,079 2,199,238 1,099,619 3,298,858 1,649,429 4,948,288 2,474,144 1,237,072 618,536 309,268 154,634 77,317 231,952 115,976 57,988 28,994 14,497 43,492 21,746 10,873 32,620 16,310 8,155 24,466 12,233 36,700 18,350 9,175 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203

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