λ
Harmonic Matrix

2,675,649

3 × 227 × 3929
Deficient Odd Composite

2,675,649 has digital root 3. The neighboring primes are 2675633 and 2675653; its proper-divisor sum differs from the starting integer by -1,767,138.

Prime Factor Structure

Factorization String 3 × 227 × 3929
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,584,160
Proper Divisor Sum 908,511
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2675633 ← → #2675653

Radix Representation

Decimal 2675649
Binary 1010001101001111000001 (22 bits)
Octal 0o12151701
Hexadecimal 0x28D3C1

Divisor Catalog (8)

1 3 227 681 3,929 11,787 891,883 2,675,649

Collatz Trajectory (138 steps to reach 1)

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

2,675,649 8,026,948 4,013,474 2,006,737 6,020,212 3,010,106 1,505,053 4,515,160 2,257,580 1,128,790 564,395 1,693,186 846,593 2,539,780 1,269,890 634,945 1,904,836 952,418 476,209 1,428,628 714,314 357,157 1,071,472 535,736 267,868 133,934 66,967 200,902 100,451 301,354 150,677 452,032 226,016 113,008 56,504 28,252 14,126 7,063 21,190 10,595 31,786 15,893 47,680 23,840 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834

More profiles

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