λ
Harmonic Matrix

2,677,026

2 × 3 × 11 × 47 × 863
Abundant Even Composite

2,677,026 has digital root 3. The neighboring primes are 2676997 and 2677057; its proper-divisor sum differs from the starting integer by 617,916.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 47 × 863
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,971,968
Proper Divisor Sum 3,294,942
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2676997 ← → #2677057

Radix Representation

Decimal 2677026
Binary 1010001101100100100010 (22 bits)
Octal 0o12154442
Hexadecimal 0x28D922

Divisor Catalog (32)

1 2 3 6 11 22 33 47 66 94 141 282 517 863 1,034 1,551 1,726 2,589 3,102 5,178 9,493 18,986 28,479 40,561 56,958 81,122 121,683 243,366 446,171 892,342 1,338,513 2,677,026

Collatz Trajectory (169 steps to reach 1)

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

2,677,026 1,338,513 4,015,540 2,007,770 1,003,885 3,011,656 1,505,828 752,914 376,457 1,129,372 564,686 282,343 847,030 423,515 1,270,546 635,273 1,905,820 952,910 476,455 1,429,366 714,683 2,144,050 1,072,025 3,216,076 1,608,038 804,019 2,412,058 1,206,029 3,618,088 1,809,044 904,522 452,261 1,356,784 678,392 339,196 169,598 84,799 254,398 127,199 381,598 190,799 572,398 286,199 858,598 429,299 1,287,898 643,949 1,931,848 965,924 482,962 241,481 724,444 362,222 181,111 543,334 271,667 815,002 407,501 1,222,504 611,252

More profiles

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