9,313,731

3³ × 7 × 49279

9,313,731 has digital root 9. The neighboring primes are 9313721 and 9313747; its proper-divisor sum differs from the starting integer by -2,857,862.

Prime Factor Structure

Factorization String 3^3 × 7 × 49279

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,769,600

Proper Divisor Sum 6,455,869

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9313721 ← → #9313747

Radix Representation

Decimal	9313731
Binary	100011100001110111000011 (24 bits)
Octal	0o43416703
Hexadecimal	0x8E1DC3

Divisor Catalog (16)

1 3 7 9 21 27 63 189 49,279 147,837 344,953 443,511 1,034,859 1,330,533 3,104,577 9,313,731

Collatz Trajectory (88 steps to reach 1)

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

9,313,731 27,941,194 13,970,597 41,911,792 20,955,896 10,477,948 5,238,974 2,619,487 7,858,462 3,929,231 11,787,694 5,893,847 17,681,542 8,840,771 26,522,314 13,261,157 39,783,472 19,891,736 9,945,868 4,972,934 2,486,467 7,459,402 3,729,701 11,189,104 5,594,552 2,797,276 1,398,638 699,319 2,097,958 1,048,979 3,146,938 1,573,469 4,720,408 2,360,204 1,180,102 590,051 1,770,154 885,077 2,655,232 1,327,616 663,808 331,904 165,952 82,976 41,488 20,744 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642

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