λ
Harmonic Matrix

6,040,069

7 × 283 × 3049
Deficient Odd Composite

6,040,069 has digital root 7. The neighboring primes are 6040063 and 6040109; its proper-divisor sum differs from the starting integer by -5,150,538.

Prime Factor Structure

Factorization String 7 × 283 × 3049
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,929,600
Proper Divisor Sum 889,531
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6040063 ← → #6040109

Radix Representation

Decimal 6040069
Binary 10111000010101000000101 (23 bits)
Octal 0o27025005
Hexadecimal 0x5C2A05

Divisor Catalog (8)

1 7 283 1,981 3,049 21,343 862,867 6,040,069

Collatz Trajectory (289 steps to reach 1)

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

6,040,069 18,120,208 9,060,104 4,530,052 2,265,026 1,132,513 3,397,540 1,698,770 849,385 2,548,156 1,274,078 637,039 1,911,118 955,559 2,866,678 1,433,339 4,300,018 2,150,009 6,450,028 3,225,014 1,612,507 4,837,522 2,418,761 7,256,284 3,628,142 1,814,071 5,442,214 2,721,107 8,163,322 4,081,661 12,244,984 6,122,492 3,061,246 1,530,623 4,591,870 2,295,935 6,887,806 3,443,903 10,331,710 5,165,855 15,497,566 7,748,783 23,246,350 11,623,175 34,869,526 17,434,763 52,304,290 26,152,145 78,456,436 39,228,218 19,614,109 58,842,328 29,421,164 14,710,582 7,355,291 22,065,874 11,032,937 33,098,812 16,549,406 8,274,703

More profiles

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