λ
Harmonic Matrix

1,357,679

1357679
Deficient Odd Prime

1,357,679 has digital root 2. The neighboring primes are 1357673 and 1357703; its proper-divisor sum differs from the starting integer by -1,357,678.

Prime Factor Structure

Factorization String 1357679
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,357,680
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1357673 ← → #1357703

Radix Representation

Decimal 1357679
Binary 101001011011101101111 (21 bits)
Octal 0o5133557
Hexadecimal 0x14B76F

Divisor Catalog (2)

Collatz Trajectory (230 steps to reach 1)

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

1,357,679 4,073,038 2,036,519 6,109,558 3,054,779 9,164,338 4,582,169 13,746,508 6,873,254 3,436,627 10,309,882 5,154,941 15,464,824 7,732,412 3,866,206 1,933,103 5,799,310 2,899,655 8,698,966 4,349,483 13,048,450 6,524,225 19,572,676 9,786,338 4,893,169 14,679,508 7,339,754 3,669,877 11,009,632 5,504,816 2,752,408 1,376,204 688,102 344,051 1,032,154 516,077 1,548,232 774,116 387,058 193,529 580,588 290,294 145,147 435,442 217,721 653,164 326,582 163,291 489,874 244,937 734,812 367,406 183,703 551,110 275,555 826,666 413,333 1,240,000 620,000 310,000

More profiles

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