λ
Harmonic Matrix

3,032,762

2 × 29 × 52289
Deficient Even Composite

3,032,762 has digital root 5. The neighboring primes are 3032759 and 3032767; its proper-divisor sum differs from the starting integer by -1,359,424.

Prime Factor Structure

Factorization String 2 × 29 × 52289
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,706,100
Proper Divisor Sum 1,673,338
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3032759 ← → #3032767

Radix Representation

Decimal 3032762
Binary 1011100100011010111010 (22 bits)
Octal 0o13443272
Hexadecimal 0x2E46BA

Divisor Catalog (8)

1 2 29 58 52,289 104,578 1,516,381 3,032,762

Collatz Trajectory (81 steps to reach 1)

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

3,032,762 1,516,381 4,549,144 2,274,572 1,137,286 568,643 1,705,930 852,965 2,558,896 1,279,448 639,724 319,862 159,931 479,794 239,897 719,692 359,846 179,923 539,770 269,885 809,656 404,828 202,414 101,207 303,622 151,811 455,434 227,717 683,152 341,576 170,788 85,394 42,697 128,092 64,046 32,023 96,070 48,035 144,106 72,053 216,160 108,080 54,040 27,020 13,510 6,755 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535

More profiles

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