λ
Modular Archive

6,797,448

23 × 32 × 7 × 13487
Abundant Even Composite

The decimal integer 6,797,448 is 11001111011100010001000 in binary (23 bits), 31734210 in octal and 67B888 in hexadecimal. Its digit sum is 45.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 13487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,041,280
Proper Divisor Sum 14,243,832
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6797447 ← → #6797477

Radix Representation

Decimal 6797448
Binary 11001111011100010001000 (23 bits)
Octal 0o31734210
Hexadecimal 0x67B888

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 13,487 26,974 40,461 53,948 80,922 94,409 107,896 121,383 161,844 188,818 242,766 283,227 323,688 377,636 485,532 566,454 755,272 849,681 971,064 1,132,908 1,699,362 2,265,816 3,398,724 6,797,448

Collatz Trajectory (178 steps to reach 1)

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

6,797,448 3,398,724 1,699,362 849,681 2,549,044 1,274,522 637,261 1,911,784 955,892 477,946 238,973 716,920 358,460 179,230 89,615 268,846 134,423 403,270 201,635 604,906 302,453 907,360 453,680 226,840 113,420 56,710 28,355 85,066 42,533 127,600 63,800 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198

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