λ
Harmonic Matrix

7,057,179

33 × 29 × 9013
Deficient Odd Composite

7,057,179 has digital root 9. The neighboring primes are 7057157 and 7057201; its proper-divisor sum differs from the starting integer by -3,297,558.

Prime Factor Structure

Factorization String 3^3 × 29 × 9013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,816,800
Proper Divisor Sum 3,759,621
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7057157 ← → #7057201

Radix Representation

Decimal 7057179
Binary 11010111010111100011011 (23 bits)
Octal 0o32727433
Hexadecimal 0x6BAF1B

Divisor Catalog (16)

1 3 9 27 29 87 261 783 9,013 27,039 81,117 243,351 261,377 784,131 2,352,393 7,057,179

Collatz Trajectory (173 steps to reach 1)

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

7,057,179 21,171,538 10,585,769 31,757,308 15,878,654 7,939,327 23,817,982 11,908,991 35,726,974 17,863,487 53,590,462 26,795,231 80,385,694 40,192,847 120,578,542 60,289,271 180,867,814 90,433,907 271,301,722 135,650,861 406,952,584 203,476,292 101,738,146 50,869,073 152,607,220 76,303,610 38,151,805 114,455,416 57,227,708 28,613,854 14,306,927 42,920,782 21,460,391 64,381,174 32,190,587 96,571,762 48,285,881 144,857,644 72,428,822 36,214,411 108,643,234 54,321,617 162,964,852 81,482,426 40,741,213 122,223,640 61,111,820 30,555,910 15,277,955 45,833,866 22,916,933 68,750,800 34,375,400 17,187,700 8,593,850 4,296,925 12,890,776 6,445,388 3,222,694 1,611,347

More profiles

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