λ
Harmonic Matrix

7,606,091

29 × 353 × 743
Deficient Odd Composite

7,606,091 has digital root 2. The neighboring primes are 7606063 and 7606097; its proper-divisor sum differs from the starting integer by -7,310,902.

Prime Factor Structure

Factorization String 29 × 353 × 743
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,901,280
Proper Divisor Sum 295,189
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7606063 ← → #7606097

Radix Representation

Decimal 7606091
Binary 11101000000111101001011 (23 bits)
Octal 0o35007513
Hexadecimal 0x740F4B

Divisor Catalog (8)

1 29 353 743 10,237 21,547 262,279 7,606,091

Collatz Trajectory (248 steps to reach 1)

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

7,606,091 22,818,274 11,409,137 34,227,412 17,113,706 8,556,853 25,670,560 12,835,280 6,417,640 3,208,820 1,604,410 802,205 2,406,616 1,203,308 601,654 300,827 902,482 451,241 1,353,724 676,862 338,431 1,015,294 507,647 1,522,942 761,471 2,284,414 1,142,207 3,426,622 1,713,311 5,139,934 2,569,967 7,709,902 3,854,951 11,564,854 5,782,427 17,347,282 8,673,641 26,020,924 13,010,462 6,505,231 19,515,694 9,757,847 29,273,542 14,636,771 43,910,314 21,955,157 65,865,472 32,932,736 16,466,368 8,233,184 4,116,592 2,058,296 1,029,148 514,574 257,287 771,862 385,931 1,157,794 578,897 1,736,692

More profiles

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