λ
Harmonic Matrix

2,746,246

2 × 23 × 227 × 263
Deficient Even Composite

2,746,246 has digital root 4. The neighboring primes are 2746229 and 2746283; its proper-divisor sum differs from the starting integer by -1,158,668.

Prime Factor Structure

Factorization String 2 × 23 × 227 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,333,824
Proper Divisor Sum 1,587,578
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2746229 ← → #2746283

Radix Representation

Decimal 2746246
Binary 1010011110011110000110 (22 bits)
Octal 0o12363606
Hexadecimal 0x29E786

Divisor Catalog (16)

1 2 23 46 227 263 454 526 5,221 6,049 10,442 12,098 59,701 119,402 1,373,123 2,746,246

Collatz Trajectory (169 steps to reach 1)

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

2,746,246 1,373,123 4,119,370 2,059,685 6,179,056 3,089,528 1,544,764 772,382 386,191 1,158,574 579,287 1,737,862 868,931 2,606,794 1,303,397 3,910,192 1,955,096 977,548 488,774 244,387 733,162 366,581 1,099,744 549,872 274,936 137,468 68,734 34,367 103,102 51,551 154,654 77,327 231,982 115,991 347,974 173,987 521,962 260,981 782,944 391,472 195,736 97,868 48,934 24,467 73,402 36,701 110,104 55,052 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422

More profiles

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