λ
Prime Ledger

9,791,097

3 × 197 × 16567
Deficient Odd Composite

9,791,097 has the prime decomposition 3 × 197 × 16567. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 197 × 16567
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,121,856
Proper Divisor Sum 3,330,759
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9791081 ← → #9791101

Radix Representation

Decimal 9791097
Binary 100101010110011001111001 (24 bits)
Octal 0o45263171
Hexadecimal 0x956679

Divisor Catalog (8)

1 3 197 591 16,567 49,701 3,263,699 9,791,097

Collatz Trajectory (269 steps to reach 1)

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

9,791,097 29,373,292 14,686,646 7,343,323 22,029,970 11,014,985 33,044,956 16,522,478 8,261,239 24,783,718 12,391,859 37,175,578 18,587,789 55,763,368 27,881,684 13,940,842 6,970,421 20,911,264 10,455,632 5,227,816 2,613,908 1,306,954 653,477 1,960,432 980,216 490,108 245,054 122,527 367,582 183,791 551,374 275,687 827,062 413,531 1,240,594 620,297 1,860,892 930,446 465,223 1,395,670 697,835 2,093,506 1,046,753 3,140,260 1,570,130 785,065 2,355,196 1,177,598 588,799 1,766,398 883,199 2,649,598 1,324,799 3,974,398 1,987,199 5,961,598 2,980,799 8,942,398 4,471,199 13,413,598

More profiles

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