486,801

3² × 7 × 7727

486,801 factors as 3^2 × 7 × 7727. Its 12 positive divisors give a proper-divisor sum of 316,911, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 7727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 803,712

Proper Divisor Sum 316,911

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #486797 ← → #486817

Radix Representation

Decimal	486801
Binary	1110110110110010001 (19 bits)
Octal	0o1666621
Hexadecimal	0x76D91

Divisor Catalog (12)

1 3 7 9 21 63 7,727 23,181 54,089 69,543 162,267 486,801

Collatz Trajectory (89 steps to reach 1)

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

486,801 1,460,404 730,202 365,101 1,095,304 547,652 273,826 136,913 410,740 205,370 102,685 308,056 154,028 77,014 38,507 115,522 57,761 173,284 86,642 43,321 129,964 64,982 32,491 97,474 48,737 146,212 73,106 36,553 109,660 54,830 27,415 82,246 41,123 123,370 61,685 185,056 92,528 46,264 23,132 11,566 5,783 17,350 8,675 26,026 13,013 39,040 19,520 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86

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