λ
Modular Archive

768,367

43 × 107 × 167
Deficient Odd Composite

The decimal integer 768,367 is 10111011100101101111 in binary (20 bits), 2734557 in octal and BB96F in hexadecimal. Its digit sum is 37.

Prime Factor Structure

Factorization String 43 × 107 × 167
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 798,336
Proper Divisor Sum 29,969
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #768359 ← → #768371

Radix Representation

Decimal 768367
Binary 10111011100101101111 (20 bits)
Octal 0o2734557
Hexadecimal 0xBB96F

Divisor Catalog (8)

1 43 107 167 4,601 7,181 17,869 768,367

Collatz Trajectory (193 steps to reach 1)

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

768,367 2,305,102 1,152,551 3,457,654 1,728,827 5,186,482 2,593,241 7,779,724 3,889,862 1,944,931 5,834,794 2,917,397 8,752,192 4,376,096 2,188,048 1,094,024 547,012 273,506 136,753 410,260 205,130 102,565 307,696 153,848 76,924 38,462 19,231 57,694 28,847 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874

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