λ
Harmonic Matrix

7,751,428

22 × 47 × 41231
Deficient Even Composite

7,751,428 has digital root 7. The neighboring primes are 7751363 and 7751441; its proper-divisor sum differs from the starting integer by -1,648,904.

Prime Factor Structure

Factorization String 2^2 × 47 × 41231
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,853,952
Proper Divisor Sum 6,102,524
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7751363 ← → #7751441

Radix Representation

Decimal 7751428
Binary 11101100100011100000100 (23 bits)
Octal 0o35443404
Hexadecimal 0x764704

Divisor Catalog (12)

1 2 4 47 94 188 41,231 82,462 164,924 1,937,857 3,875,714 7,751,428

Collatz Trajectory (155 steps to reach 1)

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

7,751,428 3,875,714 1,937,857 5,813,572 2,906,786 1,453,393 4,360,180 2,180,090 1,090,045 3,270,136 1,635,068 817,534 408,767 1,226,302 613,151 1,839,454 919,727 2,759,182 1,379,591 4,138,774 2,069,387 6,208,162 3,104,081 9,312,244 4,656,122 2,328,061 6,984,184 3,492,092 1,746,046 873,023 2,619,070 1,309,535 3,928,606 1,964,303 5,892,910 2,946,455 8,839,366 4,419,683 13,259,050 6,629,525 19,888,576 9,944,288 4,972,144 2,486,072 1,243,036 621,518 310,759 932,278 466,139 1,398,418 699,209 2,097,628 1,048,814 524,407 1,573,222 786,611 2,359,834 1,179,917 3,539,752 1,769,876

More profiles

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