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Atlas › Integer Profiles › Node 36,964,000

36,964,000

25 × 53 × 9241
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^3 × 9241
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 90,830,376
Proper Divisor Sum 53,866,376
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #36963991 ← → #36964003

Radix Representation

Decimal 36964000
Binary 10001101000000011010100000 (26 bits)
Octal 0o215003240
Hexadecimal 0x23406A0

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 9,241 18,482 36,964 46,205 73,928 92,410 147,856 184,820 231,025 295,712 369,640 462,050 739,280 924,100 1,155,125 1,478,560 1,848,200 2,310,250 3,696,400 4,620,500 7,392,800 9,241,000 18,482,000 36,964,000

Collatz Trajectory (152 steps to reach 1)

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

36,964,000 18,482,000 9,241,000 4,620,500 2,310,250 1,155,125 3,465,376 1,732,688 866,344 433,172 216,586 108,293 324,880 162,440 81,220 40,610 20,305 60,916 30,458 15,229 45,688 22,844 11,422 5,711 17,134 8,567 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182

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