λ
Harmonic Matrix

1,318,328

23 × 11 × 71 × 211
Abundant Even Composite

1,318,328 has digital root 8. The neighboring primes are 1318313 and 1318349; its proper-divisor sum differs from the starting integer by 110,864.

Prime Factor Structure

Factorization String 2^3 × 11 × 71 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,747,520
Proper Divisor Sum 1,429,192
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1318313 ← → #1318349

Radix Representation

Decimal 1318328
Binary 101000001110110111000 (21 bits)
Octal 0o5016670
Hexadecimal 0x141DB8

Divisor Catalog (32)

1 2 4 8 11 22 44 71 88 142 211 284 422 568 781 844 1,562 1,688 2,321 3,124 4,642 6,248 9,284 14,981 18,568 29,962 59,924 119,848 164,791 329,582 659,164 1,318,328

Collatz Trajectory (93 steps to reach 1)

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

1,318,328 659,164 329,582 164,791 494,374 247,187 741,562 370,781 1,112,344 556,172 278,086 139,043 417,130 208,565 625,696 312,848 156,424 78,212 39,106 19,553 58,660 29,330 14,665 43,996 21,998 10,999 32,998 16,499 49,498 24,749 74,248 37,124 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397

More profiles

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