λ
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Atlas › Integer Profiles › Node 2,427,926

2,427,926

2 × 23 × 47 × 1123
Deficient Even Composite

2,427,926 factors as 2 × 23 × 47 × 1123. Its 16 positive divisors give a proper-divisor sum of 1,456,618, so this integer is deficient. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2 × 23 × 47 × 1123
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,884,544
Proper Divisor Sum 1,456,618
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2427911 ← → #2427947

Radix Representation

Decimal 2427926
Binary 1001010000110000010110 (22 bits)
Octal 0o11206026
Hexadecimal 0x250C16

Divisor Catalog (16)

1 2 23 46 47 94 1,081 1,123 2,162 2,246 25,829 51,658 52,781 105,562 1,213,963 2,427,926

Collatz Trajectory (68 steps to reach 1)

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

2,427,926 1,213,963 3,641,890 1,820,945 5,462,836 2,731,418 1,365,709 4,097,128 2,048,564 1,024,282 512,141 1,536,424 768,212 384,106 192,053 576,160 288,080 144,040 72,020 36,010 18,005 54,016 27,008 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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