λ
Harmonic Matrix

1,357,685

5 × 7 × 38791
Deficient Odd Composite

1,357,685 has digital root 8. The neighboring primes are 1357679 and 1357703; its proper-divisor sum differs from the starting integer by -853,354.

Prime Factor Structure

Factorization String 5 × 7 × 38791
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,862,016
Proper Divisor Sum 504,331
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1357679 ← → #1357703

Radix Representation

Decimal 1357685
Binary 101001011011101110101 (21 bits)
Octal 0o5133565
Hexadecimal 0x14B775

Divisor Catalog (8)

1 5 7 35 38,791 193,955 271,537 1,357,685

Collatz Trajectory (137 steps to reach 1)

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

1,357,685 4,073,056 2,036,528 1,018,264 509,132 254,566 127,283 381,850 190,925 572,776 286,388 143,194 71,597 214,792 107,396 53,698 26,849 80,548 40,274 20,137 60,412 30,206 15,103 45,310 22,655 67,966 33,983 101,950 50,975 152,926 76,463 229,390 114,695 344,086 172,043 516,130 258,065 774,196 387,098 193,549 580,648 290,324 145,162 72,581 217,744 108,872 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677

More profiles

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