222,145

5 × 7 × 11 × 577

222,145 factors as 5 × 7 × 11 × 577. Its 16 positive divisors give a proper-divisor sum of 110,783, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 577

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 332,928

Proper Divisor Sum 110,783

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #222137 ← → #222149

Radix Representation

Decimal	222145
Binary	110110001111000001 (18 bits)
Octal	0o661701
Hexadecimal	0x363C1

Divisor Catalog (16)

1 5 7 11 35 55 77 385 577 2,885 4,039 6,347 20,195 31,735 44,429 222,145

Collatz Trajectory (142 steps to reach 1)

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

222,145 666,436 333,218 166,609 499,828 249,914 124,957 374,872 187,436 93,718 46,859 140,578 70,289 210,868 105,434 52,717 158,152 79,076 39,538 19,769 59,308 29,654 14,827 44,482 22,241 66,724 33,362 16,681 50,044 25,022 12,511 37,534 18,767 56,302 28,151 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458

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