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Atlas › Integer Profiles › Node 7,203,952

7,203,952

24 × 7 × 131 × 491
Abundant Even Composite

7,203,952 factors as 2^4 × 7 × 131 × 491. Its 40 positive divisors give a proper-divisor sum of 8,902,160, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 131 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,106,112
Proper Divisor Sum 8,902,160
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7203949 ← → #7203961

Radix Representation

Decimal 7203952
Binary 11011011110110001110000 (23 bits)
Octal 0o33366160
Hexadecimal 0x6DEC70

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 131 262 491 524 917 982 1,048 1,834 1,964 2,096 3,437 3,668 3,928 6,874 7,336 7,856 13,748 14,672 27,496 54,992 64,321 128,642 257,284 450,247 514,568 900,494 1,029,136 1,800,988 3,601,976 7,203,952

Collatz Trajectory (235 steps to reach 1)

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

7,203,952 3,601,976 1,800,988 900,494 450,247 1,350,742 675,371 2,026,114 1,013,057 3,039,172 1,519,586 759,793 2,279,380 1,139,690 569,845 1,709,536 854,768 427,384 213,692 106,846 53,423 160,270 80,135 240,406 120,203 360,610 180,305 540,916 270,458 135,229 405,688 202,844 101,422 50,711 152,134 76,067 228,202 114,101 342,304 171,152 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618

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