λ
Prime Ledger

9,708,391

7 × 11 × 59 × 2137
Deficient Odd Composite

9,708,391 has the prime decomposition 7 × 11 × 59 × 2137. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 59 × 2137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,314,880
Proper Divisor Sum 2,606,489
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9708383 ← → #9708397

Radix Representation

Decimal 9708391
Binary 100101000010001101100111 (24 bits)
Octal 0o45021547
Hexadecimal 0x942367

Divisor Catalog (16)

1 7 11 59 77 413 649 2,137 4,543 14,959 23,507 126,083 164,549 882,581 1,386,913 9,708,391

Collatz Trajectory (163 steps to reach 1)

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

9,708,391 29,125,174 14,562,587 43,687,762 21,843,881 65,531,644 32,765,822 16,382,911 49,148,734 24,574,367 73,723,102 36,861,551 110,584,654 55,292,327 165,876,982 82,938,491 248,815,474 124,407,737 373,223,212 186,611,606 93,305,803 279,917,410 139,958,705 419,876,116 209,938,058 104,969,029 314,907,088 157,453,544 78,726,772 39,363,386 19,681,693 59,045,080 29,522,540 14,761,270 7,380,635 22,141,906 11,070,953 33,212,860 16,606,430 8,303,215 24,909,646 12,454,823 37,364,470 18,682,235 56,046,706 28,023,353 84,070,060 42,035,030 21,017,515 63,052,546 31,526,273 94,578,820 47,289,410 23,644,705 70,934,116 35,467,058 17,733,529 53,200,588 26,600,294 13,300,147

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