λ
Integer Codex

3,751,092

22 × 32 × 29 × 3593
Abundant Even Composite

For 3,751,092, the 36 positive divisors have a total of 9,811,620. Removing 3,751,092 leaves 6,060,528, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 3593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,811,620
Proper Divisor Sum 6,060,528
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3751091 ← → #3751103

Radix Representation

Decimal 3751092
Binary 1110010011110010110100 (22 bits)
Octal 0o16236264
Hexadecimal 0x393CB4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1,044 3,593 7,186 10,779 14,372 21,558 32,337 43,116 64,674 104,197 129,348 208,394 312,591 416,788 625,182 937,773 1,250,364 1,875,546 3,751,092

Collatz Trajectory (53 steps to reach 1)

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

3,751,092 1,875,546 937,773 2,813,320 1,406,660 703,330 351,665 1,054,996 527,498 263,749 791,248 395,624 197,812 98,906 49,453 148,360 74,180 37,090 18,545 55,636 27,818 13,909 41,728 20,864 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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