λ
Harmonic Matrix

4,163,329

4163329
Deficient Odd Prime

4,163,329 has digital root 1. The neighboring primes are 4163297 and 4163333; its proper-divisor sum differs from the starting integer by -4,163,328.

Prime Factor Structure

Factorization String 4163329
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,163,330
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4163297 ← → #4163333

Radix Representation

Decimal 4163329
Binary 1111111000011100000001 (22 bits)
Octal 0o17703401
Hexadecimal 0x3F8701

Divisor Catalog (2)

1 4,163,329

Collatz Trajectory (136 steps to reach 1)

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

4,163,329 12,489,988 6,244,994 3,122,497 9,367,492 4,683,746 2,341,873 7,025,620 3,512,810 1,756,405 5,269,216 2,634,608 1,317,304 658,652 329,326 164,663 493,990 246,995 740,986 370,493 1,111,480 555,740 277,870 138,935 416,806 208,403 625,210 312,605 937,816 468,908 234,454 117,227 351,682 175,841 527,524 263,762 131,881 395,644 197,822 98,911 296,734 148,367 445,102 222,551 667,654 333,827 1,001,482 500,741 1,502,224 751,112 375,556 187,778 93,889 281,668 140,834 70,417 211,252 105,626 52,813 158,440

More profiles

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