λ
Modular Archive

3,120,672

25 × 3 × 32507
Abundant Even Composite

The decimal integer 3,120,672 is 1011111001111000100000 in binary (22 bits), 13717040 in octal and 2F9E20 in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 2^5 × 3 × 32507
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,192,016
Proper Divisor Sum 5,071,344
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3120671 ← → #3120697

Radix Representation

Decimal 3120672
Binary 1011111001111000100000 (22 bits)
Octal 0o13717040
Hexadecimal 0x2F9E20

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 32,507 65,014 97,521 130,028 195,042 260,056 390,084 520,112 780,168 1,040,224 1,560,336 3,120,672

Collatz Trajectory (71 steps to reach 1)

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

3,120,672 1,560,336 780,168 390,084 195,042 97,521 292,564 146,282 73,141 219,424 109,712 54,856 27,428 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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