λ
Harmonic Matrix

1,367,891

7 × 195413
Deficient Odd Composite

1,367,891 has digital root 8. The neighboring primes are 1367887 and 1367893; its proper-divisor sum differs from the starting integer by -1,172,470.

Prime Factor Structure

Factorization String 7 × 195413
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,563,312
Proper Divisor Sum 195,421
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1367887 ← → #1367893

Radix Representation

Decimal 1367891
Binary 101001101111101010011 (21 bits)
Octal 0o5157523
Hexadecimal 0x14DF53

Divisor Catalog (4)

1 7 195,413 1,367,891

Collatz Trajectory (186 steps to reach 1)

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

1,367,891 4,103,674 2,051,837 6,155,512 3,077,756 1,538,878 769,439 2,308,318 1,154,159 3,462,478 1,731,239 5,193,718 2,596,859 7,790,578 3,895,289 11,685,868 5,842,934 2,921,467 8,764,402 4,382,201 13,146,604 6,573,302 3,286,651 9,859,954 4,929,977 14,789,932 7,394,966 3,697,483 11,092,450 5,546,225 16,638,676 8,319,338 4,159,669 12,479,008 6,239,504 3,119,752 1,559,876 779,938 389,969 1,169,908 584,954 292,477 877,432 438,716 219,358 109,679 329,038 164,519 493,558 246,779 740,338 370,169 1,110,508 555,254 277,627 832,882 416,441 1,249,324 624,662 312,331

More profiles

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