λ
Harmonic Matrix

1,829,839

11 × 166349
Deficient Odd Composite

1,829,839 has digital root 4. The neighboring primes are 1829831 and 1829843; its proper-divisor sum differs from the starting integer by -1,663,478.

Prime Factor Structure

Factorization String 11 × 166349
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,996,200
Proper Divisor Sum 166,361
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #1829831 ← → #1829843

Radix Representation

Decimal 1829839
Binary 110111110101111001111 (21 bits)
Octal 0o6765717
Hexadecimal 0x1BEBCF

Divisor Catalog (4)

1 11 166,349 1,829,839

Collatz Trajectory (233 steps to reach 1)

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

1,829,839 5,489,518 2,744,759 8,234,278 4,117,139 12,351,418 6,175,709 18,527,128 9,263,564 4,631,782 2,315,891 6,947,674 3,473,837 10,421,512 5,210,756 2,605,378 1,302,689 3,908,068 1,954,034 977,017 2,931,052 1,465,526 732,763 2,198,290 1,099,145 3,297,436 1,648,718 824,359 2,473,078 1,236,539 3,709,618 1,854,809 5,564,428 2,782,214 1,391,107 4,173,322 2,086,661 6,259,984 3,129,992 1,564,996 782,498 391,249 1,173,748 586,874 293,437 880,312 440,156 220,078 110,039 330,118 165,059 495,178 247,589 742,768 371,384 185,692 92,846 46,423 139,270 69,635

More profiles

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