λ
Harmonic Matrix

6,089,007

3 × 2029669
Deficient Odd Composite

6,089,007 has digital root 3. The neighboring primes are 6088967 and 6089023; its proper-divisor sum differs from the starting integer by -4,059,334.

Prime Factor Structure

Factorization String 3 × 2029669
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,118,680
Proper Divisor Sum 2,029,673
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6088967 ← → #6089023

Radix Representation

Decimal 6089007
Binary 10111001110100100101111 (23 bits)
Octal 0o27164457
Hexadecimal 0x5CE92F

Divisor Catalog (4)

1 3 2,029,669 6,089,007

Collatz Trajectory (108 steps to reach 1)

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

6,089,007 18,267,022 9,133,511 27,400,534 13,700,267 41,100,802 20,550,401 61,651,204 30,825,602 15,412,801 46,238,404 23,119,202 11,559,601 34,678,804 17,339,402 8,669,701 26,009,104 13,004,552 6,502,276 3,251,138 1,625,569 4,876,708 2,438,354 1,219,177 3,657,532 1,828,766 914,383 2,743,150 1,371,575 4,114,726 2,057,363 6,172,090 3,086,045 9,258,136 4,629,068 2,314,534 1,157,267 3,471,802 1,735,901 5,207,704 2,603,852 1,301,926 650,963 1,952,890 976,445 2,929,336 1,464,668 732,334 366,167 1,098,502 549,251 1,647,754 823,877 2,471,632 1,235,816 617,908 308,954 154,477 463,432 231,716

More profiles

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