λ
Ratio Atlas

2,149,174

2 × 17 × 63211
Deficient Even Composite

2,149,174 factors as 2 × 17 × 63211. Its 8 positive divisors give a proper-divisor sum of 1,264,274, so this integer is deficient. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 17 × 63211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,413,448
Proper Divisor Sum 1,264,274
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2149171 ← → #2149177

Radix Representation

Decimal 2149174
Binary 1000001100101100110110 (22 bits)
Octal 0o10145466
Hexadecimal 0x20CB36

Divisor Catalog (8)

1 2 17 34 63,211 126,422 1,074,587 2,149,174

Collatz Trajectory (241 steps to reach 1)

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

2,149,174 1,074,587 3,223,762 1,611,881 4,835,644 2,417,822 1,208,911 3,626,734 1,813,367 5,440,102 2,720,051 8,160,154 4,080,077 12,240,232 6,120,116 3,060,058 1,530,029 4,590,088 2,295,044 1,147,522 573,761 1,721,284 860,642 430,321 1,290,964 645,482 322,741 968,224 484,112 242,056 121,028 60,514 30,257 90,772 45,386 22,693 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809

More profiles

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