λ
Prime Ledger

976,729

13 × 75133
Deficient Odd Composite

976,729 has the prime decomposition 13 × 75133. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 75133
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,051,876
Proper Divisor Sum 75,147
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #976727 ← → #976777

Radix Representation

Decimal 976729
Binary 11101110011101011001 (20 bits)
Octal 0o3563531
Hexadecimal 0xEE759

Divisor Catalog (4)

1 13 75,133 976,729

Collatz Trajectory (77 steps to reach 1)

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

976,729 2,930,188 1,465,094 732,547 2,197,642 1,098,821 3,296,464 1,648,232 824,116 412,058 206,029 618,088 309,044 154,522 77,261 231,784 115,892 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29

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