λ
Harmonic Matrix

7,467,762

2 × 3 × 1244627
Abundant Even Composite

7,467,762 has digital root 3. The neighboring primes are 7467751 and 7467763; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1244627
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,935,536
Proper Divisor Sum 7,467,774
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7467751 ← → #7467763

Radix Representation

Decimal 7467762
Binary 11100011111001011110010 (23 bits)
Octal 0o34371362
Hexadecimal 0x71F2F2

Divisor Catalog (8)

1 2 3 6 1,244,627 2,489,254 3,733,881 7,467,762

Collatz Trajectory (341 steps to reach 1)

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

7,467,762 3,733,881 11,201,644 5,600,822 2,800,411 8,401,234 4,200,617 12,601,852 6,300,926 3,150,463 9,451,390 4,725,695 14,177,086 7,088,543 21,265,630 10,632,815 31,898,446 15,949,223 47,847,670 23,923,835 71,771,506 35,885,753 107,657,260 53,828,630 26,914,315 80,742,946 40,371,473 121,114,420 60,557,210 30,278,605 90,835,816 45,417,908 22,708,954 11,354,477 34,063,432 17,031,716 8,515,858 4,257,929 12,773,788 6,386,894 3,193,447 9,580,342 4,790,171 14,370,514 7,185,257 21,555,772 10,777,886 5,388,943 16,166,830 8,083,415 24,250,246 12,125,123 36,375,370 18,187,685 54,563,056 27,281,528 13,640,764 6,820,382 3,410,191 10,230,574

More profiles

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