λ
Prime Ledger

2,738,690

2 × 5 × 47 × 5827
Deficient Even Composite

2,738,690 has the prime decomposition 2 × 5 × 47 × 5827. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 47 × 5827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,035,392
Proper Divisor Sum 2,296,702
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2738657 ← → #2738707

Radix Representation

Decimal 2738690
Binary 1010011100101000000010 (22 bits)
Octal 0o12345002
Hexadecimal 0x29CA02

Divisor Catalog (16)

1 2 5 10 47 94 235 470 5,827 11,654 29,135 58,270 273,869 547,738 1,369,345 2,738,690

Collatz Trajectory (169 steps to reach 1)

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

2,738,690 1,369,345 4,108,036 2,054,018 1,027,009 3,081,028 1,540,514 770,257 2,310,772 1,155,386 577,693 1,733,080 866,540 433,270 216,635 649,906 324,953 974,860 487,430 243,715 731,146 365,573 1,096,720 548,360 274,180 137,090 68,545 205,636 102,818 51,409 154,228 77,114 38,557 115,672 57,836 28,918 14,459 43,378 21,689 65,068 32,534 16,267 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374

More profiles

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