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Atlas › Integer Profiles › Node 7,601,004

7,601,004

22 × 32 × 199 × 1061
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 199 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,328,400
Proper Divisor Sum 11,727,396
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7600993 ← → #7601039

Radix Representation

Decimal 7601004
Binary 11100111111101101101100 (23 bits)
Octal 0o34775554
Hexadecimal 0x73FB6C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 199 398 597 796 1,061 1,194 1,791 2,122 2,388 3,183 3,582 4,244 6,366 7,164 9,549 12,732 19,098 38,196 211,139 422,278 633,417 844,556 1,266,834 1,900,251 2,533,668 3,800,502 7,601,004

Collatz Trajectory (155 steps to reach 1)

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

7,601,004 3,800,502 1,900,251 5,700,754 2,850,377 8,551,132 4,275,566 2,137,783 6,413,350 3,206,675 9,620,026 4,810,013 14,430,040 7,215,020 3,607,510 1,803,755 5,411,266 2,705,633 8,116,900 4,058,450 2,029,225 6,087,676 3,043,838 1,521,919 4,565,758 2,282,879 6,848,638 3,424,319 10,272,958 5,136,479 15,409,438 7,704,719 23,114,158 11,557,079 34,671,238 17,335,619 52,006,858 26,003,429 78,010,288 39,005,144 19,502,572 9,751,286 4,875,643 14,626,930 7,313,465 21,940,396 10,970,198 5,485,099 16,455,298 8,227,649 24,682,948 12,341,474 6,170,737 18,512,212 9,256,106 4,628,053 13,884,160 6,942,080 3,471,040 1,735,520

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