λ
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Atlas › Integer Profiles › Node 6,406,875

6,406,875

32 × 54 × 17 × 67
Deficient Odd Composite

6,406,875 factors as 3^2 × 5^4 × 17 × 67. Its 60 positive divisors give a proper-divisor sum of 6,020,397, so this integer is deficient. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 3^2 × 5^4 × 17 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 12,427,272
Proper Divisor Sum 6,020,397
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6406867 ← → #6406877

Radix Representation

Decimal 6406875
Binary 11000011100001011011011 (23 bits)
Octal 0o30341333
Hexadecimal 0x61C2DB

Divisor Catalog (60)

1 3 5 9 15 17 25 45 51 67 75 85 125 153 201 225 255 335 375 425 603 625 765 1,005 1,125 1,139 1,275 1,675 1,875 2,125 3,015 3,417 3,825 5,025 5,625 5,695 6,375 8,375 10,251 10,625 15,075 17,085 19,125 25,125 28,475 31,875 41,875 51,255 75,375 85,425 95,625 125,625 142,375 256,275 376,875 427,125 711,875 1,281,375 2,135,625 6,406,875

Collatz Trajectory (258 steps to reach 1)

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

6,406,875 19,220,626 9,610,313 28,830,940 14,415,470 7,207,735 21,623,206 10,811,603 32,434,810 16,217,405 48,652,216 24,326,108 12,163,054 6,081,527 18,244,582 9,122,291 27,366,874 13,683,437 41,050,312 20,525,156 10,262,578 5,131,289 15,393,868 7,696,934 3,848,467 11,545,402 5,772,701 17,318,104 8,659,052 4,329,526 2,164,763 6,494,290 3,247,145 9,741,436 4,870,718 2,435,359 7,306,078 3,653,039 10,959,118 5,479,559 16,438,678 8,219,339 24,658,018 12,329,009 36,987,028 18,493,514 9,246,757 27,740,272 13,870,136 6,935,068 3,467,534 1,733,767 5,201,302 2,600,651 7,801,954 3,900,977 11,702,932 5,851,466 2,925,733 8,777,200

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