λ
Harmonic Matrix

2,726,498

2 × 67 × 20347
Deficient Even Composite

2,726,498 has digital root 2. The neighboring primes are 2726491 and 2726509; its proper-divisor sum differs from the starting integer by -1,302,004.

Prime Factor Structure

Factorization String 2 × 67 × 20347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,150,992
Proper Divisor Sum 1,424,494
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2726491 ← → #2726509

Radix Representation

Decimal 2726498
Binary 1010011001101001100010 (22 bits)
Octal 0o12315142
Hexadecimal 0x299A62

Divisor Catalog (8)

1 2 67 134 20,347 40,694 1,363,249 2,726,498

Collatz Trajectory (200 steps to reach 1)

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

2,726,498 1,363,249 4,089,748 2,044,874 1,022,437 3,067,312 1,533,656 766,828 383,414 191,707 575,122 287,561 862,684 431,342 215,671 647,014 323,507 970,522 485,261 1,455,784 727,892 363,946 181,973 545,920 272,960 136,480 68,240 34,120 17,060 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300

More profiles

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