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Atlas › Integer Profiles › Node 40,372,000

40,372,000

25 × 53 × 10093
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^3 × 10093
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,203,832
Proper Divisor Sum 58,831,832
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #40371967 ← → #40372009

Radix Representation

Decimal 40372000
Binary 10011010000000011100100000 (26 bits)
Octal 0o232003440
Hexadecimal 0x2680720

Divisor Catalog (48)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1,000 2,000 4,000 10,093 20,186 40,372 50,465 80,744 100,930 161,488 201,860 252,325 322,976 403,720 504,650 807,440 1,009,300 1,261,625 1,614,880 2,018,600 2,523,250 4,037,200 5,046,500 8,074,400 10,093,000 20,186,000 40,372,000

Collatz Trajectory (209 steps to reach 1)

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

40,372,000 20,186,000 10,093,000 5,046,500 2,523,250 1,261,625 3,784,876 1,892,438 946,219 2,838,658 1,419,329 4,257,988 2,128,994 1,064,497 3,193,492 1,596,746 798,373 2,395,120 1,197,560 598,780 299,390 149,695 449,086 224,543 673,630 336,815 1,010,446 505,223 1,515,670 757,835 2,273,506 1,136,753 3,410,260 1,705,130 852,565 2,557,696 1,278,848 639,424 319,712 159,856 79,928 39,964 19,982 9,991 29,974 14,987 44,962 22,481 67,444 33,722 16,861 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114

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