λ
Prime Ledger

8,122,996

22 × 7 × 290107
Abundant Even Composite

8,122,996 has the prime decomposition 2^2 × 7 × 290107. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 290107
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,246,048
Proper Divisor Sum 8,123,052
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8122969 ← → #8123053

Radix Representation

Decimal 8122996
Binary 11110111111001001110100 (23 bits)
Octal 0o36771164
Hexadecimal 0x7BF274

Divisor Catalog (12)

1 2 4 7 14 28 290,107 580,214 1,160,428 2,030,749 4,061,498 8,122,996

Collatz Trajectory (186 steps to reach 1)

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

8,122,996 4,061,498 2,030,749 6,092,248 3,046,124 1,523,062 761,531 2,284,594 1,142,297 3,426,892 1,713,446 856,723 2,570,170 1,285,085 3,855,256 1,927,628 963,814 481,907 1,445,722 722,861 2,168,584 1,084,292 542,146 271,073 813,220 406,610 203,305 609,916 304,958 152,479 457,438 228,719 686,158 343,079 1,029,238 514,619 1,543,858 771,929 2,315,788 1,157,894 578,947 1,736,842 868,421 2,605,264 1,302,632 651,316 325,658 162,829 488,488 244,244 122,122 61,061 183,184 91,592 45,796 22,898 11,449 34,348 17,174 8,587

More profiles

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