λ
Harmonic Matrix

3,739,939

7 × 79 × 6763
Deficient Odd Composite

3,739,939 has digital root 7. The neighboring primes are 3739921 and 3739943; its proper-divisor sum differs from the starting integer by -3,150,918.

Prime Factor Structure

Factorization String 7 × 79 × 6763
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,328,960
Proper Divisor Sum 589,021
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3739921 ← → #3739943

Radix Representation

Decimal 3739939
Binary 1110010001000100100011 (22 bits)
Octal 0o16210443
Hexadecimal 0x391123

Divisor Catalog (8)

1 7 79 553 6,763 47,341 534,277 3,739,939

Collatz Trajectory (172 steps to reach 1)

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

3,739,939 11,219,818 5,609,909 16,829,728 8,414,864 4,207,432 2,103,716 1,051,858 525,929 1,577,788 788,894 394,447 1,183,342 591,671 1,775,014 887,507 2,662,522 1,331,261 3,993,784 1,996,892 998,446 499,223 1,497,670 748,835 2,246,506 1,123,253 3,369,760 1,684,880 842,440 421,220 210,610 105,305 315,916 157,958 78,979 236,938 118,469 355,408 177,704 88,852 44,426 22,213 66,640 33,320 16,660 8,330 4,165 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110

More profiles

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