λ
Harmonic Matrix

1,548,389

1548389
Deficient Odd Prime

1,548,389 has digital root 2. The neighboring primes are 1548359 and 1548401; its proper-divisor sum differs from the starting integer by -1,548,388.

Prime Factor Structure

Factorization String 1548389
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,548,390
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1548359 ← → #1548401

Radix Representation

Decimal 1548389
Binary 101111010000001100101 (21 bits)
Octal 0o5720145
Hexadecimal 0x17A065

Divisor Catalog (2)

Collatz Trajectory (194 steps to reach 1)

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

1,548,389 4,645,168 2,322,584 1,161,292 580,646 290,323 870,970 435,485 1,306,456 653,228 326,614 163,307 489,922 244,961 734,884 367,442 183,721 551,164 275,582 137,791 413,374 206,687 620,062 310,031 930,094 465,047 1,395,142 697,571 2,092,714 1,046,357 3,139,072 1,569,536 784,768 392,384 196,192 98,096 49,048 24,524 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827

More profiles

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