λ
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Atlas › Integer Profiles › Node 3,626,872

3,626,872

23 × 19 × 107 × 223
Abundant Even Composite

3,626,872 factors as 2^3 × 19 × 107 × 223. Its 32 positive divisors give a proper-divisor sum of 3,630,728, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 107 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,257,600
Proper Divisor Sum 3,630,728
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3626837 ← → #3626873

Radix Representation

Decimal 3626872
Binary 1101110101011101111000 (22 bits)
Octal 0o15653570
Hexadecimal 0x375778

Divisor Catalog (32)

1 2 4 8 19 38 76 107 152 214 223 428 446 856 892 1,784 2,033 4,066 4,237 8,132 8,474 16,264 16,948 23,861 33,896 47,722 95,444 190,888 453,359 906,718 1,813,436 3,626,872

Collatz Trajectory (146 steps to reach 1)

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

3,626,872 1,813,436 906,718 453,359 1,360,078 680,039 2,040,118 1,020,059 3,060,178 1,530,089 4,590,268 2,295,134 1,147,567 3,442,702 1,721,351 5,164,054 2,582,027 7,746,082 3,873,041 11,619,124 5,809,562 2,904,781 8,714,344 4,357,172 2,178,586 1,089,293 3,267,880 1,633,940 816,970 408,485 1,225,456 612,728 306,364 153,182 76,591 229,774 114,887 344,662 172,331 516,994 258,497 775,492 387,746 193,873 581,620 290,810 145,405 436,216 218,108 109,054 54,527 163,582 81,791 245,374 122,687 368,062 184,031 552,094 276,047 828,142

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