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Atlas › Integer Profiles › Node 8,445,375

8,445,375

32 × 53 × 7507
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^3 × 7507
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,226,224
Proper Divisor Sum 6,780,849
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8445343 ← → #8445377

Radix Representation

Decimal 8445375
Binary 100000001101110110111111 (24 bits)
Octal 0o40156677
Hexadecimal 0x80DDBF

Divisor Catalog (24)

1 3 5 9 15 25 45 75 125 225 375 1,125 7,507 22,521 37,535 67,563 112,605 187,675 337,815 563,025 938,375 1,689,075 2,815,125 8,445,375

Collatz Trajectory (129 steps to reach 1)

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

8,445,375 25,336,126 12,668,063 38,004,190 19,002,095 57,006,286 28,503,143 85,509,430 42,754,715 128,264,146 64,132,073 192,396,220 96,198,110 48,099,055 144,297,166 72,148,583 216,445,750 108,222,875 324,668,626 162,334,313 487,002,940 243,501,470 121,750,735 365,252,206 182,626,103 547,878,310 273,939,155 821,817,466 410,908,733 1,232,726,200 616,363,100 308,181,550 154,090,775 462,272,326 231,136,163 693,408,490 346,704,245 1,040,112,736 520,056,368 260,028,184 130,014,092 65,007,046 32,503,523 97,510,570 48,755,285 146,265,856 73,132,928 36,566,464 18,283,232 9,141,616 4,570,808 2,285,404 1,142,702 571,351 1,714,054 857,027 2,571,082 1,285,541 3,856,624 1,928,312

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