λ
Harmonic Matrix

1,326,038

2 × 73 × 1933
Deficient Even Composite

1,326,038 has digital root 5. The neighboring primes are 1326037 and 1326041; its proper-divisor sum differs from the starting integer by -331,276.

Prime Factor Structure

Factorization String 2 × 7^3 × 1933
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,320,800
Proper Divisor Sum 994,762
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1326037 ← → #1326041

Radix Representation

Decimal 1326038
Binary 101000011101111010110 (21 bits)
Octal 0o5035726
Hexadecimal 0x143BD6

Divisor Catalog (16)

1 2 7 14 49 98 343 686 1,933 3,866 13,531 27,062 94,717 189,434 663,019 1,326,038

Collatz Trajectory (230 steps to reach 1)

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

1,326,038 663,019 1,989,058 994,529 2,983,588 1,491,794 745,897 2,237,692 1,118,846 559,423 1,678,270 839,135 2,517,406 1,258,703 3,776,110 1,888,055 5,664,166 2,832,083 8,496,250 4,248,125 12,744,376 6,372,188 3,186,094 1,593,047 4,779,142 2,389,571 7,168,714 3,584,357 10,753,072 5,376,536 2,688,268 1,344,134 672,067 2,016,202 1,008,101 3,024,304 1,512,152 756,076 378,038 189,019 567,058 283,529 850,588 425,294 212,647 637,942 318,971 956,914 478,457 1,435,372 717,686 358,843 1,076,530 538,265 1,614,796 807,398 403,699 1,211,098 605,549 1,816,648

More profiles

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