λ
Ratio Atlas

1,216,122

2 × 3 × 157 × 1291
Abundant Even Composite

1,216,122 factors as 2 × 3 × 157 × 1291. Its 16 positive divisors give a proper-divisor sum of 1,233,510, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 3 × 157 × 1291
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,449,632
Proper Divisor Sum 1,233,510
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1216109 ← → #1216123

Radix Representation

Decimal 1216122
Binary 100101000111001111010 (21 bits)
Octal 0o4507172
Hexadecimal 0x128E7A

Divisor Catalog (16)

1 2 3 6 157 314 471 942 1,291 2,582 3,873 7,746 202,687 405,374 608,061 1,216,122

Collatz Trajectory (196 steps to reach 1)

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

1,216,122 608,061 1,824,184 912,092 456,046 228,023 684,070 342,035 1,026,106 513,053 1,539,160 769,580 384,790 192,395 577,186 288,593 865,780 432,890 216,445 649,336 324,668 162,334 81,167 243,502 121,751 365,254 182,627 547,882 273,941 821,824 410,912 205,456 102,728 51,364 25,682 12,841 38,524 19,262 9,631 28,894 14,447 43,342 21,671 65,014 32,507 97,522 48,761 146,284 73,142 36,571 109,714 54,857 164,572 82,286 41,143 123,430 61,715 185,146 92,573 277,720

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