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Atlas › Integer Profiles › Node 6,404,064

6,404,064

25 × 3 × 19 × 3511
Abundant Even Composite

6,404,064 factors as 2^5 × 3 × 19 × 3511. Its 48 positive divisors give a proper-divisor sum of 11,296,416, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 19 × 3511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,700,480
Proper Divisor Sum 11,296,416
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6404063 ← → #6404089

Radix Representation

Decimal 6404064
Binary 11000011011011111100000 (23 bits)
Octal 0o30333740
Hexadecimal 0x61B7E0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1,824 3,511 7,022 10,533 14,044 21,066 28,088 42,132 56,176 66,709 84,264 112,352 133,418 168,528 200,127 266,836 337,056 400,254 533,672 800,508 1,067,344 1,601,016 2,134,688 3,202,032 6,404,064

Collatz Trajectory (240 steps to reach 1)

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

6,404,064 3,202,032 1,601,016 800,508 400,254 200,127 600,382 300,191 900,574 450,287 1,350,862 675,431 2,026,294 1,013,147 3,039,442 1,519,721 4,559,164 2,279,582 1,139,791 3,419,374 1,709,687 5,129,062 2,564,531 7,693,594 3,846,797 11,540,392 5,770,196 2,885,098 1,442,549 4,327,648 2,163,824 1,081,912 540,956 270,478 135,239 405,718 202,859 608,578 304,289 912,868 456,434 228,217 684,652 342,326 171,163 513,490 256,745 770,236 385,118 192,559 577,678 288,839 866,518 433,259 1,299,778 649,889 1,949,668 974,834 487,417 1,462,252

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