7,723,749

3 × 11 × 59 × 3967

7,723,749 has the prime decomposition 3 × 11 × 59 × 3967. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 59 × 3967

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,427,840

Proper Divisor Sum 3,704,091

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7723733 ← → #7723753

Radix Representation

Decimal	7723749
Binary	11101011101101011100101 (23 bits)
Octal	0o35355345
Hexadecimal	0x75DAE5

Divisor Catalog (16)

1 3 11 33 59 177 649 1,947 3,967 11,901 43,637 130,911 234,053 702,159 2,574,583 7,723,749

Collatz Trajectory (111 steps to reach 1)

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

7,723,749 23,171,248 11,585,624 5,792,812 2,896,406 1,448,203 4,344,610 2,172,305 6,516,916 3,258,458 1,629,229 4,887,688 2,443,844 1,221,922 610,961 1,832,884 916,442 458,221 1,374,664 687,332 343,666 171,833 515,500 257,750 128,875 386,626 193,313 579,940 289,970 144,985 434,956 217,478 108,739 326,218 163,109 489,328 244,664 122,332 61,166 30,583 91,750 45,875 137,626 68,813 206,440 103,220 51,610 25,805 77,416 38,708 19,354 9,677 29,032 14,516 7,258 3,629 10,888 5,444 2,722 1,361

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