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Atlas › Integer Profiles › Node 24,671,570

24,671,570

2 × 5 × 7 × 11 × 1792
Abundant Even Composite

24,671,570 factors as 2 × 5 × 7 × 11 × 179^2. Its 48 positive divisors give a proper-divisor sum of 31,006,318, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 179^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 55,677,888
Proper Divisor Sum 31,006,318
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #24671561 ← → #24671587

Radix Representation

Decimal 24671570
Binary 1011110000111010101010010 (25 bits)
Octal 0o136072522
Hexadecimal 0x1787552

Divisor Catalog (48)

1 2 5 7 10 11 14 22 35 55 70 77 110 154 179 358 385 770 895 1,253 1,790 1,969 2,506 3,938 6,265 9,845 12,530 13,783 19,690 27,566 32,041 64,082 68,915 137,830 160,205 224,287 320,410 352,451 448,574 704,902 1,121,435 1,762,255 2,242,870 2,467,157 3,524,510 4,934,314 12,335,785 24,671,570

Collatz Trajectory (167 steps to reach 1)

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

24,671,570 12,335,785 37,007,356 18,503,678 9,251,839 27,755,518 13,877,759 41,633,278 20,816,639 62,449,918 31,224,959 93,674,878 46,837,439 140,512,318 70,256,159 210,768,478 105,384,239 316,152,718 158,076,359 474,229,078 237,114,539 711,343,618 355,671,809 1,067,015,428 533,507,714 266,753,857 800,261,572 400,130,786 200,065,393 600,196,180 300,098,090 150,049,045 450,147,136 225,073,568 112,536,784 56,268,392 28,134,196 14,067,098 7,033,549 21,100,648 10,550,324 5,275,162 2,637,581 7,912,744 3,956,372 1,978,186 989,093 2,967,280 1,483,640 741,820 370,910 185,455 556,366 278,183 834,550 417,275 1,251,826 625,913 1,877,740 938,870

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