5,491,827

3³ × 11² × 41²

5,491,827 has digital root 9. The neighboring primes are 5491819 and 5491841; its proper-divisor sum differs from the starting integer by -1,817,294.

Prime Factor Structure

Factorization String 3^3 × 11^2 × 41^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 9,166,360

Proper Divisor Sum 3,674,533

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5491819 ← → #5491841

Radix Representation

Decimal	5491827
Binary	10100111100110001110011 (23 bits)
Octal	0o24746163
Hexadecimal	0x53CC73

Divisor Catalog (36)

1 3 9 11 27 33 41 99 121 123 297 363 369 451 1,089 1,107 1,353 1,681 3,267 4,059 4,961 5,043 12,177 14,883 15,129 18,491 44,649 45,387 55,473 133,947 166,419 203,401 499,257 610,203 1,830,609 5,491,827

Collatz Trajectory (170 steps to reach 1)

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

5,491,827 16,475,482 8,237,741 24,713,224 12,356,612 6,178,306 3,089,153 9,267,460 4,633,730 2,316,865 6,950,596 3,475,298 1,737,649 5,212,948 2,606,474 1,303,237 3,909,712 1,954,856 977,428 488,714 244,357 733,072 366,536 183,268 91,634 45,817 137,452 68,726 34,363 103,090 51,545 154,636 77,318 38,659 115,978 57,989 173,968 86,984 43,492 21,746 10,873 32,620 16,310 8,155 24,466 12,233 36,700 18,350 9,175 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807

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