λ
Harmonic Matrix

2,878,264

23 × 359783
Deficient Even Composite

2,878,264 has digital root 1. The neighboring primes are 2878247 and 2878297; its proper-divisor sum differs from the starting integer by -359,768.

Prime Factor Structure

Factorization String 2^3 × 359783
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,396,760
Proper Divisor Sum 2,518,496
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2878247 ← → #2878297

Radix Representation

Decimal 2878264
Binary 1010111110101100111000 (22 bits)
Octal 0o12765470
Hexadecimal 0x2BEB38

Divisor Catalog (8)

1 2 4 8 359,783 719,566 1,439,132 2,878,264

Collatz Trajectory (169 steps to reach 1)

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

2,878,264 1,439,132 719,566 359,783 1,079,350 539,675 1,619,026 809,513 2,428,540 1,214,270 607,135 1,821,406 910,703 2,732,110 1,366,055 4,098,166 2,049,083 6,147,250 3,073,625 9,220,876 4,610,438 2,305,219 6,915,658 3,457,829 10,373,488 5,186,744 2,593,372 1,296,686 648,343 1,945,030 972,515 2,917,546 1,458,773 4,376,320 2,188,160 1,094,080 547,040 273,520 136,760 68,380 34,190 17,095 51,286 25,643 76,930 38,465 115,396 57,698 28,849 86,548 43,274 21,637 64,912 32,456 16,228 8,114 4,057 12,172 6,086 3,043

More profiles

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