7,459,742

2 × 19 × 109 × 1801

7,459,742 factors as 2 × 19 × 109 × 1801. Its 16 positive divisors give a proper-divisor sum of 4,433,458, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2 × 19 × 109 × 1801

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,893,200

Proper Divisor Sum 4,433,458

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7459721 ← → #7459801

Radix Representation

Decimal	7459742
Binary	11100011101001110011110 (23 bits)
Octal	0o34351636
Hexadecimal	0x71D39E

Divisor Catalog (16)

1 2 19 38 109 218 1,801 2,071 3,602 4,142 34,219 68,438 196,309 392,618 3,729,871 7,459,742

Collatz Trajectory (248 steps to reach 1)

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

7,459,742 3,729,871 11,189,614 5,594,807 16,784,422 8,392,211 25,176,634 12,588,317 37,764,952 18,882,476 9,441,238 4,720,619 14,161,858 7,080,929 21,242,788 10,621,394 5,310,697 15,932,092 7,966,046 3,983,023 11,949,070 5,974,535 17,923,606 8,961,803 26,885,410 13,442,705 40,328,116 20,164,058 10,082,029 30,246,088 15,123,044 7,561,522 3,780,761 11,342,284 5,671,142 2,835,571 8,506,714 4,253,357 12,760,072 6,380,036 3,190,018 1,595,009 4,785,028 2,392,514 1,196,257 3,588,772 1,794,386 897,193 2,691,580 1,345,790 672,895 2,018,686 1,009,343 3,028,030 1,514,015 4,542,046 2,271,023 6,813,070 3,406,535 10,219,606

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