λ
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Atlas › Integer Profiles › Node 25,752,540

25,752,540

22 × 3 × 5 × 11 × 39019
Abundant Even Composite

25,752,540 factors as 2^2 × 3 × 5 × 11 × 39019. Its 48 positive divisors give a proper-divisor sum of 52,911,780, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 39019
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 78,664,320
Proper Divisor Sum 52,911,780
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #25752539 ← → #25752563

Radix Representation

Decimal 25752540
Binary 1100010001111001111011100 (25 bits)
Octal 0o142171734
Hexadecimal 0x188F3DC

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 39,019 78,038 117,057 156,076 195,095 234,114 390,190 429,209 468,228 585,285 780,380 858,418 1,170,570 1,287,627 1,716,836 2,146,045 2,341,140 2,575,254 4,292,090 5,150,508 6,438,135 8,584,180 12,876,270 25,752,540

Collatz Trajectory (149 steps to reach 1)

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

25,752,540 12,876,270 6,438,135 19,314,406 9,657,203 28,971,610 14,485,805 43,457,416 21,728,708 10,864,354 5,432,177 16,296,532 8,148,266 4,074,133 12,222,400 6,111,200 3,055,600 1,527,800 763,900 381,950 190,975 572,926 286,463 859,390 429,695 1,289,086 644,543 1,933,630 966,815 2,900,446 1,450,223 4,350,670 2,175,335 6,526,006 3,263,003 9,789,010 4,894,505 14,683,516 7,341,758 3,670,879 11,012,638 5,506,319 16,518,958 8,259,479 24,778,438 12,389,219 37,167,658 18,583,829 55,751,488 27,875,744 13,937,872 6,968,936 3,484,468 1,742,234 871,117 2,613,352 1,306,676 653,338 326,669 980,008

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