4,377,948

2² × 3 × 364829

4,377,948 factors as 2^2 × 3 × 364829. Its 12 positive divisors give a proper-divisor sum of 5,837,292, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 364829

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,215,240

Proper Divisor Sum 5,837,292

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4377929 ← → #4377953

Radix Representation

Decimal	4377948
Binary	10000101100110101011100 (23 bits)
Octal	0o20546534
Hexadecimal	0x42CD5C

Divisor Catalog (12)

1 2 3 4 6 12 364,829 729,658 1,094,487 1,459,316 2,188,974 4,377,948

Collatz Trajectory (167 steps to reach 1)

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

4,377,948 2,188,974 1,094,487 3,283,462 1,641,731 4,925,194 2,462,597 7,387,792 3,693,896 1,846,948 923,474 461,737 1,385,212 692,606 346,303 1,038,910 519,455 1,558,366 779,183 2,337,550 1,168,775 3,506,326 1,753,163 5,259,490 2,629,745 7,889,236 3,944,618 1,972,309 5,916,928 2,958,464 1,479,232 739,616 369,808 184,904 92,452 46,226 23,113 69,340 34,670 17,335 52,006 26,003 78,010 39,005 117,016 58,508 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630

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