λ
Prime Ledger

9,624,387

3 × 137 × 23417
Deficient Odd Composite

9,624,387 has the prime decomposition 3 × 137 × 23417. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 137 × 23417
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,926,736
Proper Divisor Sum 3,302,349
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9624379 ← → #9624409

Radix Representation

Decimal 9624387
Binary 100100101101101101000011 (24 bits)
Octal 0o44555503
Hexadecimal 0x92DB43

Divisor Catalog (8)

1 3 137 411 23,417 70,251 3,208,129 9,624,387

Collatz Trajectory (176 steps to reach 1)

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

9,624,387 28,873,162 14,436,581 43,309,744 21,654,872 10,827,436 5,413,718 2,706,859 8,120,578 4,060,289 12,180,868 6,090,434 3,045,217 9,135,652 4,567,826 2,283,913 6,851,740 3,425,870 1,712,935 5,138,806 2,569,403 7,708,210 3,854,105 11,562,316 5,781,158 2,890,579 8,671,738 4,335,869 13,007,608 6,503,804 3,251,902 1,625,951 4,877,854 2,438,927 7,316,782 3,658,391 10,975,174 5,487,587 16,462,762 8,231,381 24,694,144 12,347,072 6,173,536 3,086,768 1,543,384 771,692 385,846 192,923 578,770 289,385 868,156 434,078 217,039 651,118 325,559 976,678 488,339 1,465,018 732,509 2,197,528

More profiles

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