λ
Harmonic Matrix

7,949,096

23 × 449 × 2213
Deficient Even Composite

7,949,096 has digital root 8. The neighboring primes are 7949083 and 7949101; its proper-divisor sum differs from the starting integer by -953,692.

Prime Factor Structure

Factorization String 2^3 × 449 × 2213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,944,500
Proper Divisor Sum 6,995,404
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7949083 ← → #7949101

Radix Representation

Decimal 7949096
Binary 11110010100101100101000 (23 bits)
Octal 0o36245450
Hexadecimal 0x794B28

Divisor Catalog (16)

1 2 4 8 449 898 1,796 2,213 3,592 4,426 8,852 17,704 993,637 1,987,274 3,974,548 7,949,096

Collatz Trajectory (142 steps to reach 1)

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

7,949,096 3,974,548 1,987,274 993,637 2,980,912 1,490,456 745,228 372,614 186,307 558,922 279,461 838,384 419,192 209,596 104,798 52,399 157,198 78,599 235,798 117,899 353,698 176,849 530,548 265,274 132,637 397,912 198,956 99,478 49,739 149,218 74,609 223,828 111,914 55,957 167,872 83,936 41,968 20,984 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402

More profiles

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