5,391,009

3³ × 13 × 15359

5,391,009 has digital root 9. The neighboring primes are 5390999 and 5391017; its proper-divisor sum differs from the starting integer by -2,180,418.

Prime Factor Structure

Factorization String 3^3 × 13 × 15359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,601,600

Proper Divisor Sum 3,210,591

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5390999 ← → #5391017

Radix Representation

Decimal	5391009
Binary	10100100100001010100001 (23 bits)
Octal	0o24441241
Hexadecimal	0x5242A1

Divisor Catalog (16)

1 3 9 13 27 39 117 351 15,359 46,077 138,231 199,667 414,693 599,001 1,797,003 5,391,009

Collatz Trajectory (188 steps to reach 1)

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

5,391,009 16,173,028 8,086,514 4,043,257 12,129,772 6,064,886 3,032,443 9,097,330 4,548,665 13,645,996 6,822,998 3,411,499 10,234,498 5,117,249 15,351,748 7,675,874 3,837,937 11,513,812 5,756,906 2,878,453 8,635,360 4,317,680 2,158,840 1,079,420 539,710 269,855 809,566 404,783 1,214,350 607,175 1,821,526 910,763 2,732,290 1,366,145 4,098,436 2,049,218 1,024,609 3,073,828 1,536,914 768,457 2,305,372 1,152,686 576,343 1,729,030 864,515 2,593,546 1,296,773 3,890,320 1,945,160 972,580 486,290 243,145 729,436 364,718 182,359 547,078 273,539 820,618 410,309 1,230,928

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