λ
Prime Ledger

4,708,677

3 × 172 × 5431
Deficient Odd Composite

4,708,677 has the prime decomposition 3 × 17^2 × 5431. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 17^2 × 5431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,670,496
Proper Divisor Sum 1,961,819
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4708631 ← → #4708681

Radix Representation

Decimal 4708677
Binary 10001111101100101000101 (23 bits)
Octal 0o21754505
Hexadecimal 0x47D945

Divisor Catalog (12)

1 3 17 51 289 867 5,431 16,293 92,327 276,981 1,569,559 4,708,677

Collatz Trajectory (136 steps to reach 1)

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

4,708,677 14,126,032 7,063,016 3,531,508 1,765,754 882,877 2,648,632 1,324,316 662,158 331,079 993,238 496,619 1,489,858 744,929 2,234,788 1,117,394 558,697 1,676,092 838,046 419,023 1,257,070 628,535 1,885,606 942,803 2,828,410 1,414,205 4,242,616 2,121,308 1,060,654 530,327 1,590,982 795,491 2,386,474 1,193,237 3,579,712 1,789,856 894,928 447,464 223,732 111,866 55,933 167,800 83,900 41,950 20,975 62,926 31,463 94,390 47,195 141,586 70,793 212,380 106,190 53,095 159,286 79,643 238,930 119,465 358,396 179,198

More profiles

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