λ
Harmonic Matrix

2,959,831

7 × 41 × 10313
Deficient Odd Composite

2,959,831 has digital root 1. The neighboring primes are 2959823 and 2959837; its proper-divisor sum differs from the starting integer by -2,454,158.

Prime Factor Structure

Factorization String 7 × 41 × 10313
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,465,504
Proper Divisor Sum 505,673
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2959823 ← → #2959837

Radix Representation

Decimal 2959831
Binary 1011010010100111010111 (22 bits)
Octal 0o13224727
Hexadecimal 0x2D29D7

Divisor Catalog (8)

1 7 41 287 10,313 72,191 422,833 2,959,831

Collatz Trajectory (143 steps to reach 1)

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

2,959,831 8,879,494 4,439,747 13,319,242 6,659,621 19,978,864 9,989,432 4,994,716 2,497,358 1,248,679 3,746,038 1,873,019 5,619,058 2,809,529 8,428,588 4,214,294 2,107,147 6,321,442 3,160,721 9,482,164 4,741,082 2,370,541 7,111,624 3,555,812 1,777,906 888,953 2,666,860 1,333,430 666,715 2,000,146 1,000,073 3,000,220 1,500,110 750,055 2,250,166 1,125,083 3,375,250 1,687,625 5,062,876 2,531,438 1,265,719 3,797,158 1,898,579 5,695,738 2,847,869 8,543,608 4,271,804 2,135,902 1,067,951 3,203,854 1,601,927 4,805,782 2,402,891 7,208,674 3,604,337 10,813,012 5,406,506 2,703,253 8,109,760 4,054,880

More profiles

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