λ
Prime Ledger

2,997,723

3 × 61 × 16381
Deficient Odd Composite

2,997,723 has the prime decomposition 3 × 61 × 16381. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 61 × 16381
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,062,736
Proper Divisor Sum 1,065,013
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2997721 ← → #2997727

Radix Representation

Decimal 2997723
Binary 1011011011110111011011 (22 bits)
Octal 0o13336733
Hexadecimal 0x2DBDDB

Divisor Catalog (8)

1 3 61 183 16,381 49,143 999,241 2,997,723

Collatz Trajectory (169 steps to reach 1)

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

2,997,723 8,993,170 4,496,585 13,489,756 6,744,878 3,372,439 10,117,318 5,058,659 15,175,978 7,587,989 22,763,968 11,381,984 5,690,992 2,845,496 1,422,748 711,374 355,687 1,067,062 533,531 1,600,594 800,297 2,400,892 1,200,446 600,223 1,800,670 900,335 2,701,006 1,350,503 4,051,510 2,025,755 6,077,266 3,038,633 9,115,900 4,557,950 2,278,975 6,836,926 3,418,463 10,255,390 5,127,695 15,383,086 7,691,543 23,074,630 11,537,315 34,611,946 17,305,973 51,917,920 25,958,960 12,979,480 6,489,740 3,244,870 1,622,435 4,867,306 2,433,653 7,300,960 3,650,480 1,825,240 912,620 456,310 228,155 684,466

More profiles

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