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9,748,740

22 × 3 × 5 × 47 × 3457
Abundant Even Composite

9,748,740 factors as 2^2 × 3 × 5 × 47 × 3457. Its 48 positive divisors give a proper-divisor sum of 18,136,572, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 47 × 3457
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,885,312
Proper Divisor Sum 18,136,572
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9748721 ← → #9748741

Radix Representation

Decimal 9748740
Binary 100101001100000100000100 (24 bits)
Octal 0o45140404
Hexadecimal 0x94C104

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1,410 2,820 3,457 6,914 10,371 13,828 17,285 20,742 34,570 41,484 51,855 69,140 103,710 162,479 207,420 324,958 487,437 649,916 812,395 974,874 1,624,790 1,949,748 2,437,185 3,249,580 4,874,370 9,748,740

Collatz Trajectory (114 steps to reach 1)

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

9,748,740 4,874,370 2,437,185 7,311,556 3,655,778 1,827,889 5,483,668 2,741,834 1,370,917 4,112,752 2,056,376 1,028,188 514,094 257,047 771,142 385,571 1,156,714 578,357 1,735,072 867,536 433,768 216,884 108,442 54,221 162,664 81,332 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721

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