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Atlas › Integer Profiles › Node 8,782,875

8,782,875

32 × 53 × 37 × 211
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^3 × 37 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,337,568
Proper Divisor Sum 7,554,693
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8782871 ← → #8782877

Radix Representation

Decimal 8782875
Binary 100001100000010000011011 (24 bits)
Octal 0o41402033
Hexadecimal 0x86041B

Divisor Catalog (48)

1 3 5 9 15 25 37 45 75 111 125 185 211 225 333 375 555 633 925 1,055 1,125 1,665 1,899 2,775 3,165 4,625 5,275 7,807 8,325 9,495 13,875 15,825 23,421 26,375 39,035 41,625 47,475 70,263 79,125 117,105 195,175 237,375 351,315 585,525 975,875 1,756,575 2,927,625 8,782,875

Collatz Trajectory (225 steps to reach 1)

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

8,782,875 26,348,626 13,174,313 39,522,940 19,761,470 9,880,735 29,642,206 14,821,103 44,463,310 22,231,655 66,694,966 33,347,483 100,042,450 50,021,225 150,063,676 75,031,838 37,515,919 112,547,758 56,273,879 168,821,638 84,410,819 253,232,458 126,616,229 379,848,688 189,924,344 94,962,172 47,481,086 23,740,543 71,221,630 35,610,815 106,832,446 53,416,223 160,248,670 80,124,335 240,373,006 120,186,503 360,559,510 180,279,755 540,839,266 270,419,633 811,258,900 405,629,450 202,814,725 608,444,176 304,222,088 152,111,044 76,055,522 38,027,761 114,083,284 57,041,642 28,520,821 85,562,464 42,781,232 21,390,616 10,695,308 5,347,654 2,673,827 8,021,482 4,010,741 12,032,224

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