λ
Modular Archive

3,121,188

22 × 3 × 7 × 73 × 509
Abundant Even Composite

The decimal integer 3,121,188 is 1011111010000000100100 in binary (22 bits), 13720044 in octal and 2FA024 in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 73 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,453,760
Proper Divisor Sum 5,332,572
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3121177 ← → #3121189

Radix Representation

Decimal 3121188
Binary 1011111010000000100100 (22 bits)
Octal 0o13720044
Hexadecimal 0x2FA024

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 509 511 876 1,018 1,022 1,527 1,533 2,036 2,044 3,054 3,066 3,563 6,108 6,132 7,126 10,689 14,252 21,378 37,157 42,756 74,314 111,471 148,628 222,942 260,099 445,884 520,198 780,297 1,040,396 1,560,594 3,121,188

Collatz Trajectory (76 steps to reach 1)

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

3,121,188 1,560,594 780,297 2,340,892 1,170,446 585,223 1,755,670 877,835 2,633,506 1,316,753 3,950,260 1,975,130 987,565 2,962,696 1,481,348 740,674 370,337 1,111,012 555,506 277,753 833,260 416,630 208,315 624,946 312,473 937,420 468,710 234,355 703,066 351,533 1,054,600 527,300 263,650 131,825 395,476 197,738 98,869 296,608 148,304 74,152 37,076 18,538 9,269 27,808 13,904 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92

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