9,272,440

2³ × 5 × 59 × 3929

9,272,440 is even and not a perfect square. Its factorization is 2^3 × 5 × 59 × 3929 and its 32 divisors sum to 21,222,000.

Prime Factor Structure

Factorization String 2^3 × 5 × 59 × 3929

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,222,000

Proper Divisor Sum 11,949,560

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9272423 ← → #9272447

Radix Representation

Decimal	9272440
Binary	100011010111110001111000 (24 bits)
Octal	0o43276170
Hexadecimal	0x8D7C78

Divisor Catalog (32)

1 2 4 5 8 10 20 40 59 118 236 295 472 590 1,180 2,360 3,929 7,858 15,716 19,645 31,432 39,290 78,580 157,160 231,811 463,622 927,244 1,159,055 1,854,488 2,318,110 4,636,220 9,272,440

Collatz Trajectory (137 steps to reach 1)

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

9,272,440 4,636,220 2,318,110 1,159,055 3,477,166 1,738,583 5,215,750 2,607,875 7,823,626 3,911,813 11,735,440 5,867,720 2,933,860 1,466,930 733,465 2,200,396 1,100,198 550,099 1,650,298 825,149 2,475,448 1,237,724 618,862 309,431 928,294 464,147 1,392,442 696,221 2,088,664 1,044,332 522,166 261,083 783,250 391,625 1,174,876 587,438 293,719 881,158 440,579 1,321,738 660,869 1,982,608 991,304 495,652 247,826 123,913 371,740 185,870 92,935 278,806 139,403 418,210 209,105 627,316 313,658 156,829 470,488 235,244 117,622 58,811

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