λ
Harmonic Matrix

7,062,726

2 × 3 × 11 × 113 × 947
Abundant Even Composite

7,062,726 has digital root 3. The neighboring primes are 7062721 and 7062739; its proper-divisor sum differs from the starting integer by 1,436,916.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 113 × 947
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,562,368
Proper Divisor Sum 8,499,642
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7062721 ← → #7062739

Radix Representation

Decimal 7062726
Binary 11010111100010011000110 (23 bits)
Octal 0o32742306
Hexadecimal 0x6BC4C6

Divisor Catalog (32)

1 2 3 6 11 22 33 66 113 226 339 678 947 1,243 1,894 2,486 2,841 3,729 5,682 7,458 10,417 20,834 31,251 62,502 107,011 214,022 321,033 642,066 1,177,121 2,354,242 3,531,363 7,062,726

Collatz Trajectory (147 steps to reach 1)

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

7,062,726 3,531,363 10,594,090 5,297,045 15,891,136 7,945,568 3,972,784 1,986,392 993,196 496,598 248,299 744,898 372,449 1,117,348 558,674 279,337 838,012 419,006 209,503 628,510 314,255 942,766 471,383 1,414,150 707,075 2,121,226 1,060,613 3,181,840 1,590,920 795,460 397,730 198,865 596,596 298,298 149,149 447,448 223,724 111,862 55,931 167,794 83,897 251,692 125,846 62,923 188,770 94,385 283,156 141,578 70,789 212,368 106,184 53,092 26,546 13,273 39,820 19,910 9,955 29,866 14,933 44,800

More profiles

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