λ
Integer Codex

3,740,892

22 × 3 × 257 × 1213
Abundant Even Composite

For 3,740,892, the 24 positive divisors have a total of 8,769,936. Removing 3,740,892 leaves 5,029,044, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 257 × 1213
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,769,936
Proper Divisor Sum 5,029,044
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3740879 ← → #3740897

Radix Representation

Decimal 3740892
Binary 1110010001010011011100 (22 bits)
Octal 0o16212334
Hexadecimal 0x3914DC

Divisor Catalog (24)

1 2 3 4 6 12 257 514 771 1,028 1,213 1,542 2,426 3,084 3,639 4,852 7,278 14,556 311,741 623,482 935,223 1,246,964 1,870,446 3,740,892

Collatz Trajectory (265 steps to reach 1)

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

3,740,892 1,870,446 935,223 2,805,670 1,402,835 4,208,506 2,104,253 6,312,760 3,156,380 1,578,190 789,095 2,367,286 1,183,643 3,550,930 1,775,465 5,326,396 2,663,198 1,331,599 3,994,798 1,997,399 5,992,198 2,996,099 8,988,298 4,494,149 13,482,448 6,741,224 3,370,612 1,685,306 842,653 2,527,960 1,263,980 631,990 315,995 947,986 473,993 1,421,980 710,990 355,495 1,066,486 533,243 1,599,730 799,865 2,399,596 1,199,798 599,899 1,799,698 899,849 2,699,548 1,349,774 674,887 2,024,662 1,012,331 3,036,994 1,518,497 4,555,492 2,277,746 1,138,873 3,416,620 1,708,310 854,155

More profiles

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