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Atlas › Integer Profiles › Node 41,325,920

41,325,920

25 × 5 × 181 × 1427
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 181 × 1427
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 98,240,688
Proper Divisor Sum 56,914,768
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #41325919 ← → #41325923

Radix Representation

Decimal 41325920
Binary 10011101101001010101100000 (26 bits)
Octal 0o235512540
Hexadecimal 0x2769560

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 905 1,427 1,448 1,810 2,854 2,896 3,620 5,708 5,792 7,135 7,240 11,416 14,270 14,480 22,832 28,540 28,960 45,664 57,080 114,160 228,320 258,287 516,574 1,033,148 1,291,435 2,066,296 2,582,870 4,132,592 5,165,740 8,265,184 10,331,480 20,662,960 41,325,920

Collatz Trajectory (178 steps to reach 1)

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

41,325,920 20,662,960 10,331,480 5,165,740 2,582,870 1,291,435 3,874,306 1,937,153 5,811,460 2,905,730 1,452,865 4,358,596 2,179,298 1,089,649 3,268,948 1,634,474 817,237 2,451,712 1,225,856 612,928 306,464 153,232 76,616 38,308 19,154 9,577 28,732 14,366 7,183 21,550 10,775 32,326 16,163 48,490 24,245 72,736 36,368 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738

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