λ
Harmonic Matrix

7,391,402

2 × 59 × 62639
Deficient Even Composite

7,391,402 has digital root 8. The neighboring primes are 7391401 and 7391407; its proper-divisor sum differs from the starting integer by -3,507,604.

Prime Factor Structure

Factorization String 2 × 59 × 62639
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,275,200
Proper Divisor Sum 3,883,798
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7391401 ← → #7391407

Radix Representation

Decimal 7391402
Binary 11100001100100010101010 (23 bits)
Octal 0o34144252
Hexadecimal 0x70C8AA

Divisor Catalog (8)

1 2 59 118 62,639 125,278 3,695,701 7,391,402

Collatz Trajectory (54 steps to reach 1)

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

7,391,402 3,695,701 11,087,104 5,543,552 2,771,776 1,385,888 692,944 346,472 173,236 86,618 43,309 129,928 64,964 32,482 16,241 48,724 24,362 12,181 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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