λ
Prime Ledger

9,506,364

22 × 3 × 7 × 113171
Abundant Even Composite

9,506,364 has the prime decomposition 2^2 × 3 × 7 × 113171. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 113171
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 25,350,528
Proper Divisor Sum 15,844,164
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9506353 ← → #9506369

Radix Representation

Decimal 9506364
Binary 100100010000111000111100 (24 bits)
Octal 0o44207074
Hexadecimal 0x910E3C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 113,171 226,342 339,513 452,684 679,026 792,197 1,358,052 1,584,394 2,376,591 3,168,788 4,753,182 9,506,364

Collatz Trajectory (75 steps to reach 1)

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

9,506,364 4,753,182 2,376,591 7,129,774 3,564,887 10,694,662 5,347,331 16,041,994 8,020,997 24,062,992 12,031,496 6,015,748 3,007,874 1,503,937 4,511,812 2,255,906 1,127,953 3,383,860 1,691,930 845,965 2,537,896 1,268,948 634,474 317,237 951,712 475,856 237,928 118,964 59,482 29,741 89,224 44,612 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280

More profiles

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