λ
Prime Ledger

6,414,996

22 × 3 × 7 × 76369
Abundant Even Composite

6,414,996 has the prime decomposition 2^2 × 3 × 7 × 76369. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 76369
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,106,880
Proper Divisor Sum 10,691,884
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6414973 ← → #6415007

Radix Representation

Decimal 6414996
Binary 11000011110001010010100 (23 bits)
Octal 0o30361224
Hexadecimal 0x61E294

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 76,369 152,738 229,107 305,476 458,214 534,583 916,428 1,069,166 1,603,749 2,138,332 3,207,498 6,414,996

Collatz Trajectory (240 steps to reach 1)

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

6,414,996 3,207,498 1,603,749 4,811,248 2,405,624 1,202,812 601,406 300,703 902,110 451,055 1,353,166 676,583 2,029,750 1,014,875 3,044,626 1,522,313 4,566,940 2,283,470 1,141,735 3,425,206 1,712,603 5,137,810 2,568,905 7,706,716 3,853,358 1,926,679 5,780,038 2,890,019 8,670,058 4,335,029 13,005,088 6,502,544 3,251,272 1,625,636 812,818 406,409 1,219,228 609,614 304,807 914,422 457,211 1,371,634 685,817 2,057,452 1,028,726 514,363 1,543,090 771,545 2,314,636 1,157,318 578,659 1,735,978 867,989 2,603,968 1,301,984 650,992 325,496 162,748 81,374 40,687

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