λ
Harmonic Matrix

7,366,192

24 × 460387
Deficient Even Composite

7,366,192 has digital root 7. The neighboring primes are 7366159 and 7366193; its proper-divisor sum differs from the starting integer by -460,356.

Prime Factor Structure

Factorization String 2^4 × 460387
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 14,272,028
Proper Divisor Sum 6,905,836
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7366159 ← → #7366193

Radix Representation

Decimal 7366192
Binary 11100000110011000110000 (23 bits)
Octal 0o34063060
Hexadecimal 0x706630

Divisor Catalog (10)

1 2 4 8 16 460,387 920,774 1,841,548 3,683,096 7,366,192

Collatz Trajectory (67 steps to reach 1)

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

7,366,192 3,683,096 1,841,548 920,774 460,387 1,381,162 690,581 2,071,744 1,035,872 517,936 258,968 129,484 64,742 32,371 97,114 48,557 145,672 72,836 36,418 18,209 54,628 27,314 13,657 40,972 20,486 10,243 30,730 15,365 46,096 23,048 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

More profiles

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