λ
Harmonic Matrix

1,381,382

2 × 139 × 4969
Deficient Even Composite

1,381,382 has digital root 8. The neighboring primes are 1381381 and 1381397; its proper-divisor sum differs from the starting integer by -675,364.

Prime Factor Structure

Factorization String 2 × 139 × 4969
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,087,400
Proper Divisor Sum 706,018
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1381381 ← → #1381397

Radix Representation

Decimal 1381382
Binary 101010001010000000110 (21 bits)
Octal 0o5212006
Hexadecimal 0x151406

Divisor Catalog (8)

1 2 139 278 4,969 9,938 690,691 1,381,382

Collatz Trajectory (199 steps to reach 1)

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

1,381,382 690,691 2,072,074 1,036,037 3,108,112 1,554,056 777,028 388,514 194,257 582,772 291,386 145,693 437,080 218,540 109,270 54,635 163,906 81,953 245,860 122,930 61,465 184,396 92,198 46,099 138,298 69,149 207,448 103,724 51,862 25,931 77,794 38,897 116,692 58,346 29,173 87,520 43,760 21,880 10,940 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462

More profiles

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