λ
Harmonic Matrix

7,057,871

7057871
Deficient Odd Prime

7,057,871 has digital root 8. The neighboring primes are 7057811 and 7057879; its proper-divisor sum differs from the starting integer by -7,057,870.

Prime Factor Structure

Factorization String 7057871
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,057,872
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7057811 ← → #7057879

Radix Representation

Decimal 7057871
Binary 11010111011000111001111 (23 bits)
Octal 0o32730717
Hexadecimal 0x6BB1CF

Divisor Catalog (2)

1 7,057,871

Collatz Trajectory (129 steps to reach 1)

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

7,057,871 21,173,614 10,586,807 31,760,422 15,880,211 47,640,634 23,820,317 71,460,952 35,730,476 17,865,238 8,932,619 26,797,858 13,398,929 40,196,788 20,098,394 10,049,197 30,147,592 15,073,796 7,536,898 3,768,449 11,305,348 5,652,674 2,826,337 8,479,012 4,239,506 2,119,753 6,359,260 3,179,630 1,589,815 4,769,446 2,384,723 7,154,170 3,577,085 10,731,256 5,365,628 2,682,814 1,341,407 4,024,222 2,012,111 6,036,334 3,018,167 9,054,502 4,527,251 13,581,754 6,790,877 20,372,632 10,186,316 5,093,158 2,546,579 7,639,738 3,819,869 11,459,608 5,729,804 2,864,902 1,432,451 4,297,354 2,148,677 6,446,032 3,223,016 1,611,508

More profiles

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