λ
Harmonic Matrix

2,463,088

24 × 257 × 599
Deficient Even Composite

2,463,088 has digital root 4. The neighboring primes are 2463077 and 2463101; its proper-divisor sum differs from the starting integer by -127,376.

Prime Factor Structure

Factorization String 2^4 × 257 × 599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,798,800
Proper Divisor Sum 2,335,712
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2463077 ← → #2463101

Radix Representation

Decimal 2463088
Binary 1001011001010101110000 (22 bits)
Octal 0o11312560
Hexadecimal 0x259570

Divisor Catalog (20)

1 2 4 8 16 257 514 599 1,028 1,198 2,056 2,396 4,112 4,792 9,584 153,943 307,886 615,772 1,231,544 2,463,088

Collatz Trajectory (81 steps to reach 1)

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

2,463,088 1,231,544 615,772 307,886 153,943 461,830 230,915 692,746 346,373 1,039,120 519,560 259,780 129,890 64,945 194,836 97,418 48,709 146,128 73,064 36,532 18,266 9,133 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74

More profiles

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