λ
Sigma Notebook

499,620

22 × 3 × 5 × 11 × 757
Abundant Even Composite

499,620 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 11 × 757 and its 48 divisors sum to 1,528,128.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 757
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,528,128
Proper Divisor Sum 1,028,508
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #499607 ← → #499621

Radix Representation

Decimal 499620
Binary 1111001111110100100 (19 bits)
Octal 0o1717644
Hexadecimal 0x79FA4

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 757 1,514 2,271 3,028 3,785 4,542 7,570 8,327 9,084 11,355 15,140 16,654 22,710 24,981 33,308 41,635 45,420 49,962 83,270 99,924 124,905 166,540 249,810 499,620

Collatz Trajectory (138 steps to reach 1)

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

499,620 249,810 124,905 374,716 187,358 93,679 281,038 140,519 421,558 210,779 632,338 316,169 948,508 474,254 237,127 711,382 355,691 1,067,074 533,537 1,600,612 800,306 400,153 1,200,460 600,230 300,115 900,346 450,173 1,350,520 675,260 337,630 168,815 506,446 253,223 759,670 379,835 1,139,506 569,753 1,709,260 854,630 427,315 1,281,946 640,973 1,922,920 961,460 480,730 240,365 721,096 360,548 180,274 90,137 270,412 135,206 67,603 202,810 101,405 304,216 152,108 76,054 38,027 114,082

More profiles

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