1,320,228

2² × 3² × 7 × 13² × 31

1,320,228 has the prime decomposition 2^2 × 3^2 × 7 × 13^2 × 31. Its 5 distinct prime factors produce 108 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 13^2 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 4,263,168

Proper Divisor Sum 2,942,940

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1320211 ← → #1320247

Radix Representation

Decimal	1320228
Binary	101000010010100100100 (21 bits)
Octal	0o5022444
Hexadecimal	0x142524

Divisor Catalog (60 of 108)

1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 169 182 186 217 234 252 273 279 338 364 372 403 434 468 507 546 558 651 676 806 819 868 1,014 1,092 1,116 1,183 1,209 1,302 1,521 1,612 1,638

Collatz Trajectory (124 steps to reach 1)

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

1,320,228 660,114 330,057 990,172 495,086 247,543 742,630 371,315 1,113,946 556,973 1,670,920 835,460 417,730 208,865 626,596 313,298 156,649 469,948 234,974 117,487 352,462 176,231 528,694 264,347 793,042 396,521 1,189,564 594,782 297,391 892,174 446,087 1,338,262 669,131 2,007,394 1,003,697 3,011,092 1,505,546 752,773 2,258,320 1,129,160 564,580 282,290 141,145 423,436 211,718 105,859 317,578 158,789 476,368 238,184 119,092 59,546 29,773 89,320 44,660 22,330 11,165 33,496 16,748 8,374

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