λ
Integer Codex

1,373,673

3 × 7 × 65413
Deficient Odd Composite

For 1,373,673, the 8 positive divisors have a total of 2,093,248. Removing 1,373,673 leaves 719,575, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 65413
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,093,248
Proper Divisor Sum 719,575
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1373639 ← → #1373677

Radix Representation

Decimal 1373673
Binary 101001111010111101001 (21 bits)
Octal 0o5172751
Hexadecimal 0x14F5E9

Divisor Catalog (8)

1 3 7 21 65,413 196,239 457,891 1,373,673

Collatz Trajectory (168 steps to reach 1)

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

1,373,673 4,121,020 2,060,510 1,030,255 3,090,766 1,545,383 4,636,150 2,318,075 6,954,226 3,477,113 10,431,340 5,215,670 2,607,835 7,823,506 3,911,753 11,735,260 5,867,630 2,933,815 8,801,446 4,400,723 13,202,170 6,601,085 19,803,256 9,901,628 4,950,814 2,475,407 7,426,222 3,713,111 11,139,334 5,569,667 16,709,002 8,354,501 25,063,504 12,531,752 6,265,876 3,132,938 1,566,469 4,699,408 2,349,704 1,174,852 587,426 293,713 881,140 440,570 220,285 660,856 330,428 165,214 82,607 247,822 123,911 371,734 185,867 557,602 278,801 836,404 418,202 209,101 627,304 313,652

More profiles

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