λ
Prime Ledger

4,126,839

3 × 43 × 31991
Deficient Odd Composite

4,126,839 has the prime decomposition 3 × 43 × 31991. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 43 × 31991
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,630,592
Proper Divisor Sum 1,503,753
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4126823 ← → #4126861

Radix Representation

Decimal 4126839
Binary 1111101111100001110111 (22 bits)
Octal 0o17574167
Hexadecimal 0x3EF877

Divisor Catalog (8)

1 3 43 129 31,991 95,973 1,375,613 4,126,839

Collatz Trajectory (167 steps to reach 1)

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

4,126,839 12,380,518 6,190,259 18,570,778 9,285,389 27,856,168 13,928,084 6,964,042 3,482,021 10,446,064 5,223,032 2,611,516 1,305,758 652,879 1,958,638 979,319 2,937,958 1,468,979 4,406,938 2,203,469 6,610,408 3,305,204 1,652,602 826,301 2,478,904 1,239,452 619,726 309,863 929,590 464,795 1,394,386 697,193 2,091,580 1,045,790 522,895 1,568,686 784,343 2,353,030 1,176,515 3,529,546 1,764,773 5,294,320 2,647,160 1,323,580 661,790 330,895 992,686 496,343 1,489,030 744,515 2,233,546 1,116,773 3,350,320 1,675,160 837,580 418,790 209,395 628,186 314,093 942,280

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