1,123,804

2² × 11 × 25541

1,123,804 factors as 2^2 × 11 × 25541. Its 12 positive divisors give a proper-divisor sum of 1,021,724, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 25541

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,145,528

Proper Divisor Sum 1,021,724

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1123777 ← → #1123807

Radix Representation

Decimal	1123804
Binary	100010010010111011100 (21 bits)
Octal	0o4222734
Hexadecimal	0x1125DC

Divisor Catalog (12)

1 2 4 11 22 44 25,541 51,082 102,164 280,951 561,902 1,123,804

Collatz Trajectory (72 steps to reach 1)

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

1,123,804 561,902 280,951 842,854 421,427 1,264,282 632,141 1,896,424 948,212 474,106 237,053 711,160 355,580 177,790 88,895 266,686 133,343 400,030 200,015 600,046 300,023 900,070 450,035 1,350,106 675,053 2,025,160 1,012,580 506,290 253,145 759,436 379,718 189,859 569,578 284,789 854,368 427,184 213,592 106,796 53,398 26,699 80,098 40,049 120,148 60,074 30,037 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34

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