λ
Harmonic Matrix

6,795,774

2 × 32 × 377543
Abundant Even Composite

6,795,774 has digital root 9. The neighboring primes are 6795757 and 6795779; its proper-divisor sum differs from the starting integer by 1,132,668.

Prime Factor Structure

Factorization String 2 × 3^2 × 377543
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,724,216
Proper Divisor Sum 7,928,442
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6795757 ← → #6795779

Radix Representation

Decimal 6795774
Binary 11001111011000111111110 (23 bits)
Octal 0o31730776
Hexadecimal 0x67B1FE

Divisor Catalog (12)

1 2 3 6 9 18 377,543 755,086 1,132,629 2,265,258 3,397,887 6,795,774

Collatz Trajectory (209 steps to reach 1)

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

6,795,774 3,397,887 10,193,662 5,096,831 15,290,494 7,645,247 22,935,742 11,467,871 34,403,614 17,201,807 51,605,422 25,802,711 77,408,134 38,704,067 116,112,202 58,056,101 174,168,304 87,084,152 43,542,076 21,771,038 10,885,519 32,656,558 16,328,279 48,984,838 24,492,419 73,477,258 36,738,629 110,215,888 55,107,944 27,553,972 13,776,986 6,888,493 20,665,480 10,332,740 5,166,370 2,583,185 7,749,556 3,874,778 1,937,389 5,812,168 2,906,084 1,453,042 726,521 2,179,564 1,089,782 544,891 1,634,674 817,337 2,452,012 1,226,006 613,003 1,839,010 919,505 2,758,516 1,379,258 689,629 2,068,888 1,034,444 517,222 258,611

More profiles

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