λ
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Atlas › Integer Profiles › Node 1,403,122

1,403,122

2 × 7 × 31 × 53 × 61
Deficient Even Composite

1,403,122 factors as 2 × 7 × 31 × 53 × 61. Its 32 positive divisors give a proper-divisor sum of 1,168,142, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 7 × 31 × 53 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,571,264
Proper Divisor Sum 1,168,142
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #1403113 ← → #1403137

Radix Representation

Decimal 1403122
Binary 101010110100011110010 (21 bits)
Octal 0o5264362
Hexadecimal 0x1568F2

Divisor Catalog (32)

1 2 7 14 31 53 61 62 106 122 217 371 427 434 742 854 1,643 1,891 3,233 3,286 3,782 6,466 11,501 13,237 22,631 23,002 26,474 45,262 100,223 200,446 701,561 1,403,122

Collatz Trajectory (93 steps to reach 1)

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

1,403,122 701,561 2,104,684 1,052,342 526,171 1,578,514 789,257 2,367,772 1,183,886 591,943 1,775,830 887,915 2,663,746 1,331,873 3,995,620 1,997,810 998,905 2,996,716 1,498,358 749,179 2,247,538 1,123,769 3,371,308 1,685,654 842,827 2,528,482 1,264,241 3,792,724 1,896,362 948,181 2,844,544 1,422,272 711,136 355,568 177,784 88,892 44,446 22,223 66,670 33,335 100,006 50,003 150,010 75,005 225,016 112,508 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399

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