54,982,016

2⁷ × 429547

54,982,016 factors as 2^7 × 429547. Its 16 positive divisors give a proper-divisor sum of 54,552,724, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^7 × 429547

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 109,534,740

Proper Divisor Sum 54,552,724

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #54981989 ← → #54982021

Radix Representation

Decimal	54982016
Binary	11010001101111010110000000 (26 bits)
Octal	0o321572600
Hexadecimal	0x346F580

Divisor Catalog (16)

1 2 4 8 16 32 64 128 429,547 859,094 1,718,188 3,436,376 6,872,752 13,745,504 27,491,008 54,982,016

Collatz Trajectory (225 steps to reach 1)

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

54,982,016 27,491,008 13,745,504 6,872,752 3,436,376 1,718,188 859,094 429,547 1,288,642 644,321 1,932,964 966,482 483,241 1,449,724 724,862 362,431 1,087,294 543,647 1,630,942 815,471 2,446,414 1,223,207 3,669,622 1,834,811 5,504,434 2,752,217 8,256,652 4,128,326 2,064,163 6,192,490 3,096,245 9,288,736 4,644,368 2,322,184 1,161,092 580,546 290,273 870,820 435,410 217,705 653,116 326,558 163,279 489,838 244,919 734,758 367,379 1,102,138 551,069 1,653,208 826,604 413,302 206,651 619,954 309,977 929,932 464,966 232,483 697,450 348,725

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