7,940,744

2³ × 7² × 47 × 431

7,940,744 has digital root 8. The neighboring primes are 7940719 and 7940747; its proper-divisor sum differs from the starting integer by 1,847,792.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 47 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,729,280

Proper Divisor Sum 9,788,536

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7940719 ← → #7940747

Radix Representation

Decimal	7940744
Binary	11110010010101010001000 (23 bits)
Octal	0o36225210
Hexadecimal	0x792A88

Divisor Catalog (48)

1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 431 658 862 1,316 1,724 2,303 2,632 3,017 3,448 4,606 6,034 9,212 12,068 18,424 20,257 21,119 24,136 40,514 42,238 81,028 84,476 141,799 162,056 168,952 283,598 567,196 992,593 1,134,392 1,985,186 3,970,372 7,940,744

Collatz Trajectory (292 steps to reach 1)

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

7,940,744 3,970,372 1,985,186 992,593 2,977,780 1,488,890 744,445 2,233,336 1,116,668 558,334 279,167 837,502 418,751 1,256,254 628,127 1,884,382 942,191 2,826,574 1,413,287 4,239,862 2,119,931 6,359,794 3,179,897 9,539,692 4,769,846 2,384,923 7,154,770 3,577,385 10,732,156 5,366,078 2,683,039 8,049,118 4,024,559 12,073,678 6,036,839 18,110,518 9,055,259 27,165,778 13,582,889 40,748,668 20,374,334 10,187,167 30,561,502 15,280,751 45,842,254 22,921,127 68,763,382 34,381,691 103,145,074 51,572,537 154,717,612 77,358,806 38,679,403 116,038,210 58,019,105 174,057,316 87,028,658 43,514,329 130,542,988 65,271,494

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