λ
Harmonic Matrix

3,046,220

22 × 5 × 152311
Abundant Even Composite

3,046,220 has digital root 8. The neighboring primes are 3046201 and 3046231; its proper-divisor sum differs from the starting integer by 304,664.

Prime Factor Structure

Factorization String 2^2 × 5 × 152311
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,397,104
Proper Divisor Sum 3,350,884
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3046201 ← → #3046231

Radix Representation

Decimal 3046220
Binary 1011100111101101001100 (22 bits)
Octal 0o13475514
Hexadecimal 0x2E7B4C

Divisor Catalog (12)

1 2 4 5 10 20 152,311 304,622 609,244 761,555 1,523,110 3,046,220

Collatz Trajectory (81 steps to reach 1)

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

3,046,220 1,523,110 761,555 2,284,666 1,142,333 3,427,000 1,713,500 856,750 428,375 1,285,126 642,563 1,927,690 963,845 2,891,536 1,445,768 722,884 361,442 180,721 542,164 271,082 135,541 406,624 203,312 101,656 50,828 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226

More profiles

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