λ
Harmonic Matrix

6,172,994

2 × 43 × 179 × 401
Deficient Even Composite

6,172,994 has digital root 2. The neighboring primes are 6172987 and 6173003; its proper-divisor sum differs from the starting integer by -2,794,468.

Prime Factor Structure

Factorization String 2 × 43 × 179 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,551,520
Proper Divisor Sum 3,378,526
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6172987 ← → #6173003

Radix Representation

Decimal 6172994
Binary 10111100011000101000010 (23 bits)
Octal 0o27430502
Hexadecimal 0x5E3142

Divisor Catalog (16)

1 2 43 86 179 358 401 802 7,697 15,394 17,243 34,486 71,779 143,558 3,086,497 6,172,994

Collatz Trajectory (108 steps to reach 1)

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

6,172,994 3,086,497 9,259,492 4,629,746 2,314,873 6,944,620 3,472,310 1,736,155 5,208,466 2,604,233 7,812,700 3,906,350 1,953,175 5,859,526 2,929,763 8,789,290 4,394,645 13,183,936 6,591,968 3,295,984 1,647,992 823,996 411,998 205,999 617,998 308,999 926,998 463,499 1,390,498 695,249 2,085,748 1,042,874 521,437 1,564,312 782,156 391,078 195,539 586,618 293,309 879,928 439,964 219,982 109,991 329,974 164,987 494,962 247,481 742,444 371,222 185,611 556,834 278,417 835,252 417,626 208,813 626,440 313,220 156,610 78,305 234,916

More profiles

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