λ
Harmonic Matrix

2,878,455

3 × 5 × 127 × 1511
Deficient Odd Composite

2,878,455 has digital root 3. The neighboring primes are 2878451 and 2878537; its proper-divisor sum differs from the starting integer by -1,112,046.

Prime Factor Structure

Factorization String 3 × 5 × 127 × 1511
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,644,864
Proper Divisor Sum 1,766,409
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2878451 ← → #2878537

Radix Representation

Decimal 2878455
Binary 1010111110101111110111 (22 bits)
Octal 0o12765767
Hexadecimal 0x2BEBF7

Divisor Catalog (16)

1 3 5 15 127 381 635 1,511 1,905 4,533 7,555 22,665 191,897 575,691 959,485 2,878,455

Collatz Trajectory (213 steps to reach 1)

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

2,878,455 8,635,366 4,317,683 12,953,050 6,476,525 19,429,576 9,714,788 4,857,394 2,428,697 7,286,092 3,643,046 1,821,523 5,464,570 2,732,285 8,196,856 4,098,428 2,049,214 1,024,607 3,073,822 1,536,911 4,610,734 2,305,367 6,916,102 3,458,051 10,374,154 5,187,077 15,561,232 7,780,616 3,890,308 1,945,154 972,577 2,917,732 1,458,866 729,433 2,188,300 1,094,150 547,075 1,641,226 820,613 2,461,840 1,230,920 615,460 307,730 153,865 461,596 230,798 115,399 346,198 173,099 519,298 259,649 778,948 389,474 194,737 584,212 292,106 146,053 438,160 219,080 109,540

More profiles

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