λ
Harmonic Matrix

6,429,298

2 × 17 × 263 × 719
Deficient Even Composite

6,429,298 has digital root 4. The neighboring primes are 6429223 and 6429323; its proper-divisor sum differs from the starting integer by -2,594,276.

Prime Factor Structure

Factorization String 2 × 17 × 263 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,264,320
Proper Divisor Sum 3,835,022
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6429223 ← → #6429323

Radix Representation

Decimal 6429298
Binary 11000100001101001110010 (23 bits)
Octal 0o30415162
Hexadecimal 0x621A72

Divisor Catalog (16)

1 2 17 34 263 526 719 1,438 4,471 8,942 12,223 24,446 189,097 378,194 3,214,649 6,429,298

Collatz Trajectory (147 steps to reach 1)

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

6,429,298 3,214,649 9,643,948 4,821,974 2,410,987 7,232,962 3,616,481 10,849,444 5,424,722 2,712,361 8,137,084 4,068,542 2,034,271 6,102,814 3,051,407 9,154,222 4,577,111 13,731,334 6,865,667 20,597,002 10,298,501 30,895,504 15,447,752 7,723,876 3,861,938 1,930,969 5,792,908 2,896,454 1,448,227 4,344,682 2,172,341 6,517,024 3,258,512 1,629,256 814,628 407,314 203,657 610,972 305,486 152,743 458,230 229,115 687,346 343,673 1,031,020 515,510 257,755 773,266 386,633 1,159,900 579,950 289,975 869,926 434,963 1,304,890 652,445 1,957,336 978,668 489,334 244,667

More profiles

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