λ
Modular Archive

6,002,400

25 × 3 × 52 × 41 × 61
Abundant Even Composite

The decimal integer 6,002,400 is 10110111001011011100000 in binary (23 bits), 26713340 in octal and 5B96E0 in hexadecimal. Its digit sum is 12.

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 41 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 20,342,448
Proper Divisor Sum 14,340,048
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #6002389 ← → #6002429

Radix Representation

Decimal 6002400
Binary 10110111001011011100000 (23 bits)
Octal 0o26713340
Hexadecimal 0x5B96E0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 61 75 80 82 96 100 120 122 123 150 160 164 183 200 205 240 244 246 300 305 328 366 400 410 480 488 492 600 610 615 656 732 800 820 915 976 984 1,025 1,200

Collatz Trajectory (90 steps to reach 1)

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

6,002,400 3,001,200 1,500,600 750,300 375,150 187,575 562,726 281,363 844,090 422,045 1,266,136 633,068 316,534 158,267 474,802 237,401 712,204 356,102 178,051 534,154 267,077 801,232 400,616 200,308 100,154 50,077 150,232 75,116 37,558 18,779 56,338 28,169 84,508 42,254 21,127 63,382 31,691 95,074 47,537 142,612 71,306 35,653 106,960 53,480 26,740 13,370 6,685 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058

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