9,708,003

3² × 17 × 107 × 593

9,708,003 has the prime decomposition 3^2 × 17 × 107 × 593. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 107 × 593

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,011,568

Proper Divisor Sum 5,303,565

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9707989 ← → #9708113

Radix Representation

Decimal	9708003
Binary	100101000010000111100011 (24 bits)
Octal	0o45020743
Hexadecimal	0x9421E3

Divisor Catalog (24)

1 3 9 17 51 107 153 321 593 963 1,779 1,819 5,337 5,457 10,081 16,371 30,243 63,451 90,729 190,353 571,059 1,078,667 3,236,001 9,708,003

Collatz Trajectory (269 steps to reach 1)

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

9,708,003 29,124,010 14,562,005 43,686,016 21,843,008 10,921,504 5,460,752 2,730,376 1,365,188 682,594 341,297 1,023,892 511,946 255,973 767,920 383,960 191,980 95,990 47,995 143,986 71,993 215,980 107,990 53,995 161,986 80,993 242,980 121,490 60,745 182,236 91,118 45,559 136,678 68,339 205,018 102,509 307,528 153,764 76,882 38,441 115,324 57,662 28,831 86,494 43,247 129,742 64,871 194,614 97,307 291,922 145,961 437,884 218,942 109,471 328,414 164,207 492,622 246,311 738,934 369,467

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