λ
Prime Ledger

9,273,572

22 × 7 × 11 × 30109
Abundant Even Composite

9,273,572 has the prime decomposition 2^2 × 7 × 11 × 30109. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 30109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,233,920
Proper Divisor Sum 10,960,348
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9273553 ← → #9273581

Radix Representation

Decimal 9273572
Binary 100011011000000011100100 (24 bits)
Octal 0o43300344
Hexadecimal 0x8D80E4

Divisor Catalog (24)

1 2 4 7 11 14 22 28 44 77 154 308 30,109 60,218 120,436 210,763 331,199 421,526 662,398 843,052 1,324,796 2,318,393 4,636,786 9,273,572

Collatz Trajectory (163 steps to reach 1)

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

9,273,572 4,636,786 2,318,393 6,955,180 3,477,590 1,738,795 5,216,386 2,608,193 7,824,580 3,912,290 1,956,145 5,868,436 2,934,218 1,467,109 4,401,328 2,200,664 1,100,332 550,166 275,083 825,250 412,625 1,237,876 618,938 309,469 928,408 464,204 232,102 116,051 348,154 174,077 522,232 261,116 130,558 65,279 195,838 97,919 293,758 146,879 440,638 220,319 660,958 330,479 991,438 495,719 1,487,158 743,579 2,230,738 1,115,369 3,346,108 1,673,054 836,527 2,509,582 1,254,791 3,764,374 1,882,187 5,646,562 2,823,281 8,469,844 4,234,922 2,117,461

More profiles

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