λ
Harmonic Matrix

2,466,957

3 × 23 × 35753
Deficient Odd Composite

2,466,957 has digital root 3. The neighboring primes are 2466931 and 2466973; its proper-divisor sum differs from the starting integer by -1,501,530.

Prime Factor Structure

Factorization String 3 × 23 × 35753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,432,384
Proper Divisor Sum 965,427
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2466931 ← → #2466973

Radix Representation

Decimal 2466957
Binary 1001011010010010001101 (22 bits)
Octal 0o11322215
Hexadecimal 0x25A48D

Divisor Catalog (8)

1 3 23 69 35,753 107,259 822,319 2,466,957

Collatz Trajectory (86 steps to reach 1)

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

2,466,957 7,400,872 3,700,436 1,850,218 925,109 2,775,328 1,387,664 693,832 346,916 173,458 86,729 260,188 130,094 65,047 195,142 97,571 292,714 146,357 439,072 219,536 109,768 54,884 27,442 13,721 41,164 20,582 10,291 30,874 15,437 46,312 23,156 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612

More profiles

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