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Atlas › Integer Profiles › Node 3,398,568

3,398,568

23 × 3 × 19 × 29 × 257
Abundant Even Composite

3,398,568 factors as 2^3 × 3 × 19 × 29 × 257. Its 64 positive divisors give a proper-divisor sum of 5,889,432, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 29 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,288,000
Proper Divisor Sum 5,889,432
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3398543 ← → #3398573

Radix Representation

Decimal 3398568
Binary 1100111101101110101000 (22 bits)
Octal 0o14755650
Hexadecimal 0x33DBA8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 257 348 456 514 551 696 771 1,028 1,102 1,542 1,653 2,056 2,204 3,084 3,306 4,408 4,883 6,168 6,612 7,453 9,766 13,224 14,649 14,906 19,532 22,359 29,298 29,812 39,064 44,718 58,596 59,624 89,436 117,192 141,607 178,872 283,214 424,821 566,428

Collatz Trajectory (84 steps to reach 1)

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

3,398,568 1,699,284 849,642 424,821 1,274,464 637,232 318,616 159,308 79,654 39,827 119,482 59,741 179,224 89,612 44,806 22,403 67,210 33,605 100,816 50,408 25,204 12,602 6,301 18,904 9,452 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101

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