λ
Modular Archive
Atlas › Integer Profiles › Node 222,002

222,002

2 × 11 × 10091
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 10091
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 363,312
Proper Divisor Sum 141,310
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #221999 ← → #222007

Radix Representation

Decimal 222002
Binary 110110001100110010 (18 bits)
Octal 0o661462
Hexadecimal 0x36332

Divisor Catalog (8)

1 2 11 22 10,091 20,182 111,001 222,002

Collatz Trajectory (155 steps to reach 1)

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

222,002 111,001 333,004 166,502 83,251 249,754 124,877 374,632 187,316 93,658 46,829 140,488 70,244 35,122 17,561 52,684 26,342 13,171 39,514 19,757 59,272 29,636 14,818 7,409 22,228 11,114 5,557 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #222,001 Browse Full Index Next Integer #222,003 →