λ
Integer Codex

4,437,496

23 × 7 × 79241
Abundant Even Composite

For 4,437,496, the 16 positive divisors have a total of 9,509,040. Removing 4,437,496 leaves 5,071,544, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 7 × 79241
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,509,040
Proper Divisor Sum 5,071,544
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4437491 ← → #4437497

Radix Representation

Decimal 4437496
Binary 10000111011010111111000 (23 bits)
Octal 0o20732770
Hexadecimal 0x43B5F8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 79,241 158,482 316,964 554,687 633,928 1,109,374 2,218,748 4,437,496

Collatz Trajectory (167 steps to reach 1)

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

4,437,496 2,218,748 1,109,374 554,687 1,664,062 832,031 2,496,094 1,248,047 3,744,142 1,872,071 5,616,214 2,808,107 8,424,322 4,212,161 12,636,484 6,318,242 3,159,121 9,477,364 4,738,682 2,369,341 7,108,024 3,554,012 1,777,006 888,503 2,665,510 1,332,755 3,998,266 1,999,133 5,997,400 2,998,700 1,499,350 749,675 2,249,026 1,124,513 3,373,540 1,686,770 843,385 2,530,156 1,265,078 632,539 1,897,618 948,809 2,846,428 1,423,214 711,607 2,134,822 1,067,411 3,202,234 1,601,117 4,803,352 2,401,676 1,200,838 600,419 1,801,258 900,629 2,701,888 1,350,944 675,472 337,736 168,868

More profiles

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