5,122,212

2² × 3 × 29 × 41 × 359

5,122,212 is even and not a perfect square. Its factorization is 2^2 × 3 × 29 × 41 × 359 and its 48 divisors sum to 12,700,800.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 41 × 359

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,700,800

Proper Divisor Sum 7,578,588

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #5122211 ← → #5122213

Radix Representation

Decimal	5122212
Binary	10011100010100010100100 (23 bits)
Octal	0o23424244
Hexadecimal	0x4E28A4

Divisor Catalog (48)

1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 359 492 718 1,077 1,189 1,436 2,154 2,378 3,567 4,308 4,756 7,134 10,411 14,268 14,719 20,822 29,438 31,233 41,644 44,157 58,876 62,466 88,314 124,932 176,628 426,851 853,702 1,280,553 1,707,404 2,561,106 5,122,212

Collatz Trajectory (219 steps to reach 1)

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

5,122,212 2,561,106 1,280,553 3,841,660 1,920,830 960,415 2,881,246 1,440,623 4,321,870 2,160,935 6,482,806 3,241,403 9,724,210 4,862,105 14,586,316 7,293,158 3,646,579 10,939,738 5,469,869 16,409,608 8,204,804 4,102,402 2,051,201 6,153,604 3,076,802 1,538,401 4,615,204 2,307,602 1,153,801 3,461,404 1,730,702 865,351 2,596,054 1,298,027 3,894,082 1,947,041 5,841,124 2,920,562 1,460,281 4,380,844 2,190,422 1,095,211 3,285,634 1,642,817 4,928,452 2,464,226 1,232,113 3,696,340 1,848,170 924,085 2,772,256 1,386,128 693,064 346,532 173,266 86,633 259,900 129,950 64,975 194,926

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