λ
Harmonic Matrix

1,383,832

23 × 41 × 4219
Deficient Even Composite

1,383,832 has digital root 1. The neighboring primes are 1383829 and 1383853; its proper-divisor sum differs from the starting integer by -109,064.

Prime Factor Structure

Factorization String 2^3 × 41 × 4219
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,658,600
Proper Divisor Sum 1,274,768
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1383829 ← → #1383853

Radix Representation

Decimal 1383832
Binary 101010001110110011000 (21 bits)
Octal 0o5216630
Hexadecimal 0x151D98

Divisor Catalog (16)

1 2 4 8 41 82 164 328 4,219 8,438 16,876 33,752 172,979 345,958 691,916 1,383,832

Collatz Trajectory (75 steps to reach 1)

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

1,383,832 691,916 345,958 172,979 518,938 259,469 778,408 389,204 194,602 97,301 291,904 145,952 72,976 36,488 18,244 9,122 4,561 13,684 6,842 3,421 10,264 5,132 2,566 1,283 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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