λ
Harmonic Matrix

8,014,076

22 × 7 × 79 × 3623
Abundant Even Composite

8,014,076 has digital root 8. The neighboring primes are 8014057 and 8014079; its proper-divisor sum differs from the starting integer by 207,368.

Prime Factor Structure

Factorization String 2^2 × 7 × 79 × 3623
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,235,520
Proper Divisor Sum 8,221,444
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8014057 ← → #8014079

Radix Representation

Decimal 8014076
Binary 11110100100100011111100 (23 bits)
Octal 0o36444374
Hexadecimal 0x7A48FC

Divisor Catalog (24)

1 2 4 7 14 28 79 158 316 553 1,106 2,212 3,623 7,246 14,492 25,361 50,722 101,444 286,217 572,434 1,144,868 2,003,519 4,007,038 8,014,076

Collatz Trajectory (116 steps to reach 1)

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

8,014,076 4,007,038 2,003,519 6,010,558 3,005,279 9,015,838 4,507,919 13,523,758 6,761,879 20,285,638 10,142,819 30,428,458 15,214,229 45,642,688 22,821,344 11,410,672 5,705,336 2,852,668 1,426,334 713,167 2,139,502 1,069,751 3,209,254 1,604,627 4,813,882 2,406,941 7,220,824 3,610,412 1,805,206 902,603 2,707,810 1,353,905 4,061,716 2,030,858 1,015,429 3,046,288 1,523,144 761,572 380,786 190,393 571,180 285,590 142,795 428,386 214,193 642,580 321,290 160,645 481,936 240,968 120,484 60,242 30,121 90,364 45,182 22,591 67,774 33,887 101,662 50,831

More profiles

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