λ
Prime Ledger

9,828,091

7 × 13 × 17 × 6353
Deficient Odd Composite

9,828,091 has the prime decomposition 7 × 13 × 17 × 6353. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 17 × 6353
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,809,664
Proper Divisor Sum 2,981,573
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9828089 ← → #9828097

Radix Representation

Decimal 9828091
Binary 100101011111011011111011 (24 bits)
Octal 0o45373373
Hexadecimal 0x95F6FB

Divisor Catalog (16)

1 7 13 17 91 119 221 1,547 6,353 44,471 82,589 108,001 578,123 756,007 1,404,013 9,828,091

Collatz Trajectory (163 steps to reach 1)

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

9,828,091 29,484,274 14,742,137 44,226,412 22,113,206 11,056,603 33,169,810 16,584,905 49,754,716 24,877,358 12,438,679 37,316,038 18,658,019 55,974,058 27,987,029 83,961,088 41,980,544 20,990,272 10,495,136 5,247,568 2,623,784 1,311,892 655,946 327,973 983,920 491,960 245,980 122,990 61,495 184,486 92,243 276,730 138,365 415,096 207,548 103,774 51,887 155,662 77,831 233,494 116,747 350,242 175,121 525,364 262,682 131,341 394,024 197,012 98,506 49,253 147,760 73,880 36,940 18,470 9,235 27,706 13,853 41,560 20,780 10,390

More profiles

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