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Atlas › Integer Profiles › Node 25,453,084

25,453,084

22 × 19 × 179 × 1871
Deficient Even Composite

25,453,084 factors as 2^2 × 19 × 179 × 1871. Its 24 positive divisors give a proper-divisor sum of 21,721,316, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 179 × 1871
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 47,174,400
Proper Divisor Sum 21,721,316
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #25453081 ← → #25453117

Radix Representation

Decimal 25453084
Binary 1100001000110001000011100 (25 bits)
Octal 0o141061034
Hexadecimal 0x184621C

Divisor Catalog (24)

1 2 4 19 38 76 179 358 716 1,871 3,401 3,742 6,802 7,484 13,604 35,549 71,098 142,196 334,909 669,818 1,339,636 6,363,271 12,726,542 25,453,084

Collatz Trajectory (105 steps to reach 1)

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

25,453,084 12,726,542 6,363,271 19,089,814 9,544,907 28,634,722 14,317,361 42,952,084 21,476,042 10,738,021 32,214,064 16,107,032 8,053,516 4,026,758 2,013,379 6,040,138 3,020,069 9,060,208 4,530,104 2,265,052 1,132,526 566,263 1,698,790 849,395 2,548,186 1,274,093 3,822,280 1,911,140 955,570 477,785 1,433,356 716,678 358,339 1,075,018 537,509 1,612,528 806,264 403,132 201,566 100,783 302,350 151,175 453,526 226,763 680,290 340,145 1,020,436 510,218 255,109 765,328 382,664 191,332 95,666 47,833 143,500 71,750 35,875 107,626 53,813 161,440

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