λ
Harmonic Matrix

2,748,484

22 × 687121
Deficient Even Composite

2,748,484 has digital root 1. The neighboring primes are 2748469 and 2748497; its proper-divisor sum differs from the starting integer by -687,114.

Prime Factor Structure

Factorization String 2^2 × 687121
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,809,854
Proper Divisor Sum 2,061,370
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2748469 ← → #2748497

Radix Representation

Decimal 2748484
Binary 1010011111000001000100 (22 bits)
Octal 0o12370104
Hexadecimal 0x29F044

Divisor Catalog (6)

1 2 4 687,121 1,374,242 2,748,484

Collatz Trajectory (94 steps to reach 1)

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

2,748,484 1,374,242 687,121 2,061,364 1,030,682 515,341 1,546,024 773,012 386,506 193,253 579,760 289,880 144,940 72,470 36,235 108,706 54,353 163,060 81,530 40,765 122,296 61,148 30,574 15,287 45,862 22,931 68,794 34,397 103,192 51,596 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915

More profiles

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