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Atlas › Integer Profiles › Node 2,848,632

2,848,632

23 × 3 × 19 × 6247
Abundant Even Composite

2,848,632 factors as 2^3 × 3 × 19 × 6247. Its 32 positive divisors give a proper-divisor sum of 4,648,968, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 6247
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,497,600
Proper Divisor Sum 4,648,968
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2848631 ← → #2848633

Radix Representation

Decimal 2848632
Binary 1010110111011101111000 (22 bits)
Octal 0o12673570
Hexadecimal 0x2B7778

Divisor Catalog (32)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 6,247 12,494 18,741 24,988 37,482 49,976 74,964 118,693 149,928 237,386 356,079 474,772 712,158 949,544 1,424,316 2,848,632

Collatz Trajectory (125 steps to reach 1)

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

2,848,632 1,424,316 712,158 356,079 1,068,238 534,119 1,602,358 801,179 2,403,538 1,201,769 3,605,308 1,802,654 901,327 2,703,982 1,351,991 4,055,974 2,027,987 6,083,962 3,041,981 9,125,944 4,562,972 2,281,486 1,140,743 3,422,230 1,711,115 5,133,346 2,566,673 7,700,020 3,850,010 1,925,005 5,775,016 2,887,508 1,443,754 721,877 2,165,632 1,082,816 541,408 270,704 135,352 67,676 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502

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