λ
Zalai Atlas

6,513,348

22 × 3 × 31 × 17509
Abundant Even Composite

6,513,348 has the prime decomposition 2^2 × 3 × 31 × 17509. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 17509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,688,960
Proper Divisor Sum 9,175,612
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6513341 ← → #6513361

Radix Representation

Decimal 6513348
Binary 11000110110001011000100 (23 bits)
Octal 0o30661304
Hexadecimal 0x6362C4

Divisor Catalog (24)

1 2 3 4 6 12 31 62 93 124 186 372 17,509 35,018 52,527 70,036 105,054 210,108 542,779 1,085,558 1,628,337 2,171,116 3,256,674 6,513,348

Collatz Trajectory (116 steps to reach 1)

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

6,513,348 3,256,674 1,628,337 4,885,012 2,442,506 1,221,253 3,663,760 1,831,880 915,940 457,970 228,985 686,956 343,478 171,739 515,218 257,609 772,828 386,414 193,207 579,622 289,811 869,434 434,717 1,304,152 652,076 326,038 163,019 489,058 244,529 733,588 366,794 183,397 550,192 275,096 137,548 68,774 34,387 103,162 51,581 154,744 77,372 38,686 19,343 58,030 29,015 87,046 43,523 130,570 65,285 195,856 97,928 48,964 24,482 12,241 36,724 18,362 9,181 27,544 13,772 6,886

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