λ
Modular Archive

3,701,016

23 × 32 × 11 × 4673
Abundant Even Composite

The decimal integer 3,701,016 is 1110000111100100011000 in binary (22 bits), 16074430 in octal and 387918 in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 4673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,937,160
Proper Divisor Sum 7,236,144
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3700993 ← → #3701021

Radix Representation

Decimal 3701016
Binary 1110000111100100011000 (22 bits)
Octal 0o16074430
Hexadecimal 0x387918

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 4,673 9,346 14,019 18,692 28,038 37,384 42,057 51,403 56,076 84,114 102,806 112,152 154,209 168,228 205,612 308,418 336,456 411,224 462,627 616,836 925,254 1,233,672 1,850,508 3,701,016

Collatz Trajectory (79 steps to reach 1)

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

3,701,016 1,850,508 925,254 462,627 1,387,882 693,941 2,081,824 1,040,912 520,456 260,228 130,114 65,057 195,172 97,586 48,793 146,380 73,190 36,595 109,786 54,893 164,680 82,340 41,170 20,585 61,756 30,878 15,439 46,318 23,159 69,478 34,739 104,218 52,109 156,328 78,164 39,082 19,541 58,624 29,312 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112

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