λ
Harmonic Matrix

2,405,706

2 × 3 × 547 × 733
Abundant Even Composite

2,405,706 has digital root 6. The neighboring primes are 2405701 and 2405707; its proper-divisor sum differs from the starting integer by 15,372.

Prime Factor Structure

Factorization String 2 × 3 × 547 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,826,784
Proper Divisor Sum 2,421,078
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2405701 ← → #2405707

Radix Representation

Decimal 2405706
Binary 1001001011010101001010 (22 bits)
Octal 0o11132512
Hexadecimal 0x24B54A

Divisor Catalog (16)

1 2 3 6 547 733 1,094 1,466 1,641 2,199 3,282 4,398 400,951 801,902 1,202,853 2,405,706

Collatz Trajectory (236 steps to reach 1)

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

2,405,706 1,202,853 3,608,560 1,804,280 902,140 451,070 225,535 676,606 338,303 1,014,910 507,455 1,522,366 761,183 2,283,550 1,141,775 3,425,326 1,712,663 5,137,990 2,568,995 7,706,986 3,853,493 11,560,480 5,780,240 2,890,120 1,445,060 722,530 361,265 1,083,796 541,898 270,949 812,848 406,424 203,212 101,606 50,803 152,410 76,205 228,616 114,308 57,154 28,577 85,732 42,866 21,433 64,300 32,150 16,075 48,226 24,113 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262

More profiles

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