λ
Integer Codex

3,674,472

23 × 3 × 283 × 541
Abundant Even Composite

For 3,674,472, the 32 positive divisors have a total of 9,235,680. Removing 3,674,472 leaves 5,561,208, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 283 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,235,680
Proper Divisor Sum 5,561,208
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3674459 ← → #3674521

Radix Representation

Decimal 3674472
Binary 1110000001000101101000 (22 bits)
Octal 0o16010550
Hexadecimal 0x381168

Divisor Catalog (32)

1 2 3 4 6 8 12 24 283 541 566 849 1,082 1,132 1,623 1,698 2,164 2,264 3,246 3,396 4,328 6,492 6,792 12,984 153,103 306,206 459,309 612,412 918,618 1,224,824 1,837,236 3,674,472

Collatz Trajectory (84 steps to reach 1)

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

3,674,472 1,837,236 918,618 459,309 1,377,928 688,964 344,482 172,241 516,724 258,362 129,181 387,544 193,772 96,886 48,443 145,330 72,665 217,996 108,998 54,499 163,498 81,749 245,248 122,624 61,312 30,656 15,328 7,664 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650

More profiles

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