λ
Math Directory

2,222,095

5 × 311 × 1429
Deficient Odd Composite

2,222,095 factors as 5 × 311 × 1429. Its 8 positive divisors give a proper-divisor sum of 454,865, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 5 × 311 × 1429
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,676,960
Proper Divisor Sum 454,865
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2222093 ← → #2222123

Radix Representation

Decimal 2222095
Binary 1000011110100000001111 (22 bits)
Octal 0o10364017
Hexadecimal 0x21E80F

Divisor Catalog (8)

1 5 311 1,429 1,555 7,145 444,419 2,222,095

Collatz Trajectory (192 steps to reach 1)

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

2,222,095 6,666,286 3,333,143 9,999,430 4,999,715 14,999,146 7,499,573 22,498,720 11,249,360 5,624,680 2,812,340 1,406,170 703,085 2,109,256 1,054,628 527,314 263,657 790,972 395,486 197,743 593,230 296,615 889,846 444,923 1,334,770 667,385 2,002,156 1,001,078 500,539 1,501,618 750,809 2,252,428 1,126,214 563,107 1,689,322 844,661 2,533,984 1,266,992 633,496 316,748 158,374 79,187 237,562 118,781 356,344 178,172 89,086 44,543 133,630 66,815 200,446 100,223 300,670 150,335 451,006 225,503 676,510 338,255 1,014,766 507,383

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