λ
Prime Ledger

976,176

24 × 32 × 6779
Abundant Even Composite

976,176 has the prime decomposition 2^4 × 3^2 × 6779. Its 3 distinct prime factors produce 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 6779
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 2,732,340
Proper Divisor Sum 1,756,164
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #976147 ← → #976177

Radix Representation

Decimal 976176
Binary 11101110010100110000 (20 bits)
Octal 0o3562460
Hexadecimal 0xEE530

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6,779 13,558 20,337 27,116 40,674 54,232 61,011 81,348 108,464 122,022 162,696 244,044 325,392 488,088 976,176

Collatz Trajectory (64 steps to reach 1)

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

976,176 488,088 244,044 122,022 61,011 183,034 91,517 274,552 137,276 68,638 34,319 102,958 51,479 154,438 77,219 231,658 115,829 347,488 173,744 86,872 43,436 21,718 10,859 32,578 16,289 48,868 24,434 12,217 36,652 18,326 9,163 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5

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