λ
Zalai Atlas

8,076,002

2 × 11 × 43 × 8537
Deficient Even Composite

8,076,002 has the prime decomposition 2 × 11 × 43 × 8537. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 43 × 8537
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,524,192
Proper Divisor Sum 5,448,190
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8075999 ← → #8076011

Radix Representation

Decimal 8076002
Binary 11110110011101011100010 (23 bits)
Octal 0o36635342
Hexadecimal 0x7B3AE2

Divisor Catalog (16)

1 2 11 22 43 86 473 946 8,537 17,074 93,907 187,814 367,091 734,182 4,038,001 8,076,002

Collatz Trajectory (93 steps to reach 1)

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

8,076,002 4,038,001 12,114,004 6,057,002 3,028,501 9,085,504 4,542,752 2,271,376 1,135,688 567,844 283,922 141,961 425,884 212,942 106,471 319,414 159,707 479,122 239,561 718,684 359,342 179,671 539,014 269,507 808,522 404,261 1,212,784 606,392 303,196 151,598 75,799 227,398 113,699 341,098 170,549 511,648 255,824 127,912 63,956 31,978 15,989 47,968 23,984 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424

More profiles

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