λ
Prime Ledger

8,864,097

3 × 112 × 24419
Deficient Odd Composite

8,864,097 has the prime decomposition 3 × 11^2 × 24419. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 11^2 × 24419
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,991,440
Proper Divisor Sum 4,127,343
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8864081 ← → #8864099

Radix Representation

Decimal 8864097
Binary 100001110100000101100001 (24 bits)
Octal 0o41640541
Hexadecimal 0x874161

Divisor Catalog (12)

1 3 11 33 121 363 24,419 73,257 268,609 805,827 2,954,699 8,864,097

Collatz Trajectory (119 steps to reach 1)

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

8,864,097 26,592,292 13,296,146 6,648,073 19,944,220 9,972,110 4,986,055 14,958,166 7,479,083 22,437,250 11,218,625 33,655,876 16,827,938 8,413,969 25,241,908 12,620,954 6,310,477 18,931,432 9,465,716 4,732,858 2,366,429 7,099,288 3,549,644 1,774,822 887,411 2,662,234 1,331,117 3,993,352 1,996,676 998,338 499,169 1,497,508 748,754 374,377 1,123,132 561,566 280,783 842,350 421,175 1,263,526 631,763 1,895,290 947,645 2,842,936 1,421,468 710,734 355,367 1,066,102 533,051 1,599,154 799,577 2,398,732 1,199,366 599,683 1,799,050 899,525 2,698,576 1,349,288 674,644 337,322

More profiles

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