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Atlas › Integer Profiles › Node 4,771,375

4,771,375

53 × 72 × 19 × 41
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^3 × 7^2 × 19 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,469,280
Proper Divisor Sum 2,697,905
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4771331 ← → #4771381

Radix Representation

Decimal 4771375
Binary 10010001100111000101111 (23 bits)
Octal 0o22147057
Hexadecimal 0x48CE2F

Divisor Catalog (48)

1 5 7 19 25 35 41 49 95 125 133 175 205 245 287 475 665 779 875 931 1,025 1,225 1,435 2,009 2,375 3,325 3,895 4,655 5,125 5,453 6,125 7,175 10,045 16,625 19,475 23,275 27,265 35,875 38,171 50,225 97,375 116,375 136,325 190,855 251,125 681,625 954,275 4,771,375

Collatz Trajectory (149 steps to reach 1)

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

4,771,375 14,314,126 7,157,063 21,471,190 10,735,595 32,206,786 16,103,393 48,310,180 24,155,090 12,077,545 36,232,636 18,116,318 9,058,159 27,174,478 13,587,239 40,761,718 20,380,859 61,142,578 30,571,289 91,713,868 45,856,934 22,928,467 68,785,402 34,392,701 103,178,104 51,589,052 25,794,526 12,897,263 38,691,790 19,345,895 58,037,686 29,018,843 87,056,530 43,528,265 130,584,796 65,292,398 32,646,199 97,938,598 48,969,299 146,907,898 73,453,949 220,361,848 110,180,924 55,090,462 27,545,231 82,635,694 41,317,847 123,953,542 61,976,771 185,930,314 92,965,157 278,895,472 139,447,736 69,723,868 34,861,934 17,430,967 52,292,902 26,146,451 78,439,354 39,219,677

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