λ
Harmonic Matrix

2,367,009

33 × 29 × 3023
Deficient Odd Composite

2,367,009 has digital root 9. The neighboring primes are 2367007 and 2367019; its proper-divisor sum differs from the starting integer by -1,105,218.

Prime Factor Structure

Factorization String 3^3 × 29 × 3023
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,628,800
Proper Divisor Sum 1,261,791
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2367007 ← → #2367019

Radix Representation

Decimal 2367009
Binary 1001000001111000100001 (22 bits)
Octal 0o11017041
Hexadecimal 0x241E21

Divisor Catalog (16)

1 3 9 27 29 87 261 783 3,023 9,069 27,207 81,621 87,667 263,001 789,003 2,367,009

Collatz Trajectory (122 steps to reach 1)

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

2,367,009 7,101,028 3,550,514 1,775,257 5,325,772 2,662,886 1,331,443 3,994,330 1,997,165 5,991,496 2,995,748 1,497,874 748,937 2,246,812 1,123,406 561,703 1,685,110 842,555 2,527,666 1,263,833 3,791,500 1,895,750 947,875 2,843,626 1,421,813 4,265,440 2,132,720 1,066,360 533,180 266,590 133,295 399,886 199,943 599,830 299,915 899,746 449,873 1,349,620 674,810 337,405 1,012,216 506,108 253,054 126,527 379,582 189,791 569,374 284,687 854,062 427,031 1,281,094 640,547 1,921,642 960,821 2,882,464 1,441,232 720,616 360,308 180,154 90,077

More profiles

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