λ
Prime Ledger

9,098,072

23 × 47 × 24197
Deficient Even Composite

9,098,072 has the prime decomposition 2^3 × 47 × 24197. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 47 × 24197
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,422,560
Proper Divisor Sum 8,324,488
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9098071 ← → #9098099

Radix Representation

Decimal 9098072
Binary 100010101101001101011000 (24 bits)
Octal 0o42551530
Hexadecimal 0x8AD358

Divisor Catalog (16)

1 2 4 8 47 94 188 376 24,197 48,394 96,788 193,576 1,137,259 2,274,518 4,549,036 9,098,072

Collatz Trajectory (106 steps to reach 1)

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

9,098,072 4,549,036 2,274,518 1,137,259 3,411,778 1,705,889 5,117,668 2,558,834 1,279,417 3,838,252 1,919,126 959,563 2,878,690 1,439,345 4,318,036 2,159,018 1,079,509 3,238,528 1,619,264 809,632 404,816 202,408 101,204 50,602 25,301 75,904 37,952 18,976 9,488 4,744 2,372 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619

More profiles

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