λ
Ratio Atlas

1,220,216

23 × 127 × 1201
Deficient Even Composite

1,220,216 factors as 2^3 × 127 × 1201. Its 16 positive divisors give a proper-divisor sum of 1,087,624, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^3 × 127 × 1201
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,307,840
Proper Divisor Sum 1,087,624
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1220203 ← → #1220239

Radix Representation

Decimal 1220216
Binary 100101001111001111000 (21 bits)
Octal 0o4517170
Hexadecimal 0x129E78

Divisor Catalog (16)

1 2 4 8 127 254 508 1,016 1,201 2,402 4,804 9,608 152,527 305,054 610,108 1,220,216

Collatz Trajectory (222 steps to reach 1)

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

1,220,216 610,108 305,054 152,527 457,582 228,791 686,374 343,187 1,029,562 514,781 1,544,344 772,172 386,086 193,043 579,130 289,565 868,696 434,348 217,174 108,587 325,762 162,881 488,644 244,322 122,161 366,484 183,242 91,621 274,864 137,432 68,716 34,358 17,179 51,538 25,769 77,308 38,654 19,327 57,982 28,991 86,974 43,487 130,462 65,231 195,694 97,847 293,542 146,771 440,314 220,157 660,472 330,236 165,118 82,559 247,678 123,839 371,518 185,759 557,278 278,639

More profiles

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