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Atlas › Integer Profiles › Node 24,448,120

24,448,120

23 × 5 × 37 × 16519
Abundant Even Composite

24,448,120 factors as 2^3 × 5 × 37 × 16519. Its 32 positive divisors give a proper-divisor sum of 32,050,280, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 37 × 16519
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 56,498,400
Proper Divisor Sum 32,050,280
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #24448097 ← → #24448133

Radix Representation

Decimal 24448120
Binary 1011101010000110001111000 (25 bits)
Octal 0o135206170
Hexadecimal 0x1750C78

Divisor Catalog (32)

1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1,480 16,519 33,038 66,076 82,595 132,152 165,190 330,380 611,203 660,760 1,222,406 2,444,812 3,056,015 4,889,624 6,112,030 12,224,060 24,448,120

Collatz Trajectory (141 steps to reach 1)

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

24,448,120 12,224,060 6,112,030 3,056,015 9,168,046 4,584,023 13,752,070 6,876,035 20,628,106 10,314,053 30,942,160 15,471,080 7,735,540 3,867,770 1,933,885 5,801,656 2,900,828 1,450,414 725,207 2,175,622 1,087,811 3,263,434 1,631,717 4,895,152 2,447,576 1,223,788 611,894 305,947 917,842 458,921 1,376,764 688,382 344,191 1,032,574 516,287 1,548,862 774,431 2,323,294 1,161,647 3,484,942 1,742,471 5,227,414 2,613,707 7,841,122 3,920,561 11,761,684 5,880,842 2,940,421 8,821,264 4,410,632 2,205,316 1,102,658 551,329 1,653,988 826,994 413,497 1,240,492 620,246 310,123 930,370

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