3,778,249

31 × 307 × 397

For 3,778,249, the 8 positive divisors have a total of 3,922,688. Removing 3,778,249 leaves 144,439, which gives the deficient classification.

Prime Factor Structure

Factorization String 31 × 307 × 397

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,922,688

Proper Divisor Sum 144,439

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3778241 ← → #3778253

Radix Representation

Decimal	3778249
Binary	1110011010011011001001 (22 bits)
Octal	0o16323311
Hexadecimal	0x39A6C9

Divisor Catalog (8)

1 31 307 397 9,517 12,307 121,879 3,778,249

Collatz Trajectory (172 steps to reach 1)

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

3,778,249 11,334,748 5,667,374 2,833,687 8,501,062 4,250,531 12,751,594 6,375,797 19,127,392 9,563,696 4,781,848 2,390,924 1,195,462 597,731 1,793,194 896,597 2,689,792 1,344,896 672,448 336,224 168,112 84,056 42,028 21,014 10,507 31,522 15,761 47,284 23,642 11,821 35,464 17,732 8,866 4,433 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

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