λ
Harmonic Matrix

2,746,704

24 × 3 × 57223
Abundant Even Composite

2,746,704 has digital root 3. The neighboring primes are 2746699 and 2746717; its proper-divisor sum differs from the starting integer by 1,602,368.

Prime Factor Structure

Factorization String 2^4 × 3 × 57223
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,095,776
Proper Divisor Sum 4,349,072
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2746699 ← → #2746717

Radix Representation

Decimal 2746704
Binary 1010011110100101010000 (22 bits)
Octal 0o12364520
Hexadecimal 0x29E950

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 57,223 114,446 171,669 228,892 343,338 457,784 686,676 915,568 1,373,352 2,746,704

Collatz Trajectory (55 steps to reach 1)

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

2,746,704 1,373,352 686,676 343,338 171,669 515,008 257,504 128,752 64,376 32,188 16,094 8,047 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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