λ
Harmonic Matrix

6,949,319

13 × 409 × 1307
Deficient Odd Composite

6,949,319 has digital root 5. The neighboring primes are 6949309 and 6949321; its proper-divisor sum differs from the starting integer by -6,390,718.

Prime Factor Structure

Factorization String 13 × 409 × 1307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,507,920
Proper Divisor Sum 558,601
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6949309 ← → #6949321

Radix Representation

Decimal 6949319
Binary 11010100000100111000111 (23 bits)
Octal 0o32404707
Hexadecimal 0x6A09C7

Divisor Catalog (8)

1 13 409 1,307 5,317 16,991 534,563 6,949,319

Collatz Trajectory (222 steps to reach 1)

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

6,949,319 20,847,958 10,423,979 31,271,938 15,635,969 46,907,908 23,453,954 11,726,977 35,180,932 17,590,466 8,795,233 26,385,700 13,192,850 6,596,425 19,789,276 9,894,638 4,947,319 14,841,958 7,420,979 22,262,938 11,131,469 33,394,408 16,697,204 8,348,602 4,174,301 12,522,904 6,261,452 3,130,726 1,565,363 4,696,090 2,348,045 7,044,136 3,522,068 1,761,034 880,517 2,641,552 1,320,776 660,388 330,194 165,097 495,292 247,646 123,823 371,470 185,735 557,206 278,603 835,810 417,905 1,253,716 626,858 313,429 940,288 470,144 235,072 117,536 58,768 29,384 14,692 7,346

More profiles

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