λ
Prime Ledger

3,722,739

3 × 887 × 1399
Deficient Odd Composite

3,722,739 has the prime decomposition 3 × 887 × 1399. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 887 × 1399
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,972,800
Proper Divisor Sum 1,250,061
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3722713 ← → #3722767

Radix Representation

Decimal 3722739
Binary 1110001100110111110011 (22 bits)
Octal 0o16146763
Hexadecimal 0x38CDF3

Divisor Catalog (8)

1 3 887 1,399 2,661 4,197 1,240,913 3,722,739

Collatz Trajectory (172 steps to reach 1)

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

3,722,739 11,168,218 5,584,109 16,752,328 8,376,164 4,188,082 2,094,041 6,282,124 3,141,062 1,570,531 4,711,594 2,355,797 7,067,392 3,533,696 1,766,848 883,424 441,712 220,856 110,428 55,214 27,607 82,822 41,411 124,234 62,117 186,352 93,176 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656

More profiles

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