λ
Integer Codex

9,740,140

22 × 5 × 487007
Abundant Even Composite

For 9,740,140, the 12 positive divisors have a total of 20,454,336. Removing 9,740,140 leaves 10,714,196, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 487007
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 20,454,336
Proper Divisor Sum 10,714,196
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9740117 ← → #9740161

Radix Representation

Decimal 9740140
Binary 100101001001111101101100 (24 bits)
Octal 0o45117554
Hexadecimal 0x949F6C

Divisor Catalog (12)

1 2 4 5 10 20 487,007 974,014 1,948,028 2,435,035 4,870,070 9,740,140

Collatz Trajectory (114 steps to reach 1)

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

9,740,140 4,870,070 2,435,035 7,305,106 3,652,553 10,957,660 5,478,830 2,739,415 8,218,246 4,109,123 12,327,370 6,163,685 18,491,056 9,245,528 4,622,764 2,311,382 1,155,691 3,467,074 1,733,537 5,200,612 2,600,306 1,300,153 3,900,460 1,950,230 975,115 2,925,346 1,462,673 4,388,020 2,194,010 1,097,005 3,291,016 1,645,508 822,754 411,377 1,234,132 617,066 308,533 925,600 462,800 231,400 115,700 57,850 28,925 86,776 43,388 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297

More profiles

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