λ
Prime Ledger

9,265,620

22 × 3 × 5 × 7 × 13 × 1697
Abundant Even Composite

9,265,620 has the prime decomposition 2^2 × 3 × 5 × 7 × 13 × 1697. Its 6 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 13 × 1697
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 31,949,568
Proper Divisor Sum 22,683,948
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9265609 ← → #9265637

Radix Representation

Decimal 9265620
Binary 100011010110000111010100 (24 bits)
Octal 0o43260724
Hexadecimal 0x8D61D4

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1,092 1,365 1,697 1,820 2,730 3,394 5,091 5,460 6,788 8,485 10,182 11,879 16,970 20,364 22,061 23,758 25,455

Collatz Trajectory (101 steps to reach 1)

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

9,265,620 4,632,810 2,316,405 6,949,216 3,474,608 1,737,304 868,652 434,326 217,163 651,490 325,745 977,236 488,618 244,309 732,928 366,464 183,232 91,616 45,808 22,904 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636

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