λ
Sigma Notebook

9,456,840

23 × 32 × 5 × 109 × 241
Abundant Even Composite

9,456,840 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 5 × 109 × 241 and its 96 divisors sum to 31,145,400.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 109 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 31,145,400
Proper Divisor Sum 21,688,560
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9456833 ← → #9456847

Radix Representation

Decimal 9456840
Binary 100100000100110011001000 (24 bits)
Octal 0o44046310
Hexadecimal 0x904CC8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 241 327 360 436 482 545 654 723 872 964 981 1,090 1,205 1,308 1,446 1,635 1,928 1,962 2,169 2,180 2,410 2,616 2,892 3,270 3,615 3,924 4,338 4,360 4,820 4,905 5,784 6,540 7,230 7,848 8,676

Collatz Trajectory (88 steps to reach 1)

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

9,456,840 4,728,420 2,364,210 1,182,105 3,546,316 1,773,158 886,579 2,659,738 1,329,869 3,989,608 1,994,804 997,402 498,701 1,496,104 748,052 374,026 187,013 561,040 280,520 140,260 70,130 35,065 105,196 52,598 26,299 78,898 39,449 118,348 59,174 29,587 88,762 44,381 133,144 66,572 33,286 16,643 49,930 24,965 74,896 37,448 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667

More profiles

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