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Atlas › Integer Profiles › Node 2,199,848

2,199,848

23 × 7 × 163 × 241
Abundant Even Composite

2,199,848 factors as 2^3 × 7 × 163 × 241. Its 32 positive divisors give a proper-divisor sum of 2,562,712, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 163 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,762,560
Proper Divisor Sum 2,562,712
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2199833 ← → #2199859

Radix Representation

Decimal 2199848
Binary 1000011001000100101000 (22 bits)
Octal 0o10310450
Hexadecimal 0x219128

Divisor Catalog (32)

1 2 4 7 8 14 28 56 163 241 326 482 652 964 1,141 1,304 1,687 1,928 2,282 3,374 4,564 6,748 9,128 13,496 39,283 78,566 157,132 274,981 314,264 549,962 1,099,924 2,199,848

Collatz Trajectory (179 steps to reach 1)

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

2,199,848 1,099,924 549,962 274,981 824,944 412,472 206,236 103,118 51,559 154,678 77,339 232,018 116,009 348,028 174,014 87,007 261,022 130,511 391,534 195,767 587,302 293,651 880,954 440,477 1,321,432 660,716 330,358 165,179 495,538 247,769 743,308 371,654 185,827 557,482 278,741 836,224 418,112 209,056 104,528 52,264 26,132 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388

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