λ
Harmonic Matrix

2,240,387

37 × 151 × 401
Deficient Odd Composite

2,240,387 has digital root 8. The neighboring primes are 2240377 and 2240389; its proper-divisor sum differs from the starting integer by -2,158,822.

Prime Factor Structure

Factorization String 37 × 151 × 401
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,321,952
Proper Divisor Sum 81,565
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2240377 ← → #2240389

Radix Representation

Decimal 2240387
Binary 1000100010111110000011 (22 bits)
Octal 0o10427603
Hexadecimal 0x222F83

Divisor Catalog (8)

1 37 151 401 5,587 14,837 60,551 2,240,387

Collatz Trajectory (210 steps to reach 1)

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

2,240,387 6,721,162 3,360,581 10,081,744 5,040,872 2,520,436 1,260,218 630,109 1,890,328 945,164 472,582 236,291 708,874 354,437 1,063,312 531,656 265,828 132,914 66,457 199,372 99,686 49,843 149,530 74,765 224,296 112,148 56,074 28,037 84,112 42,056 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756

More profiles

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