λ
Prime Ledger

1,104,224

25 × 11 × 3137
Abundant Even Composite

1,104,224 has the prime decomposition 2^5 × 11 × 3137. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 11 × 3137
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,372,328
Proper Divisor Sum 1,268,104
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1104221 ← → #1104241

Radix Representation

Decimal 1104224
Binary 100001101100101100000 (21 bits)
Octal 0o4154540
Hexadecimal 0x10D960

Divisor Catalog (24)

1 2 4 8 11 16 22 32 44 88 176 352 3,137 6,274 12,548 25,096 34,507 50,192 69,014 100,384 138,028 276,056 552,112 1,104,224

Collatz Trajectory (191 steps to reach 1)

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

1,104,224 552,112 276,056 138,028 69,014 34,507 103,522 51,761 155,284 77,642 38,821 116,464 58,232 29,116 14,558 7,279 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239 78,718 39,359 118,078 59,039 177,118 88,559 265,678 132,839 398,518 199,259 597,778 298,889 896,668 448,334 224,167 672,502 336,251 1,008,754 504,377 1,513,132

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