4,457,622

2 × 3 × 13 × 57149

4,457,622 factors as 2 × 3 × 13 × 57149. Its 16 positive divisors give a proper-divisor sum of 5,143,578, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 57149

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,601,200

Proper Divisor Sum 5,143,578

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4457611 ← → #4457623

Radix Representation

Decimal	4457622
Binary	10001000000010010010110 (23 bits)
Octal	0o21002226
Hexadecimal	0x440496

Divisor Catalog (16)

1 2 3 6 13 26 39 78 57,149 114,298 171,447 342,894 742,937 1,485,874 2,228,811 4,457,622

Collatz Trajectory (211 steps to reach 1)

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

4,457,622 2,228,811 6,686,434 3,343,217 10,029,652 5,014,826 2,507,413 7,522,240 3,761,120 1,880,560 940,280 470,140 235,070 117,535 352,606 176,303 528,910 264,455 793,366 396,683 1,190,050 595,025 1,785,076 892,538 446,269 1,338,808 669,404 334,702 167,351 502,054 251,027 753,082 376,541 1,129,624 564,812 282,406 141,203 423,610 211,805 635,416 317,708 158,854 79,427 238,282 119,141 357,424 178,712 89,356 44,678 22,339 67,018 33,509 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276

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