λ
Prime Ledger

4,931,248

24 × 7 × 44029
Abundant Even Composite

4,931,248 has the prime decomposition 2^4 × 7 × 44029. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 44029
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,919,440
Proper Divisor Sum 5,988,192
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4931237 ← → #4931261

Radix Representation

Decimal 4931248
Binary 10010110011111010110000 (23 bits)
Octal 0o22637260
Hexadecimal 0x4B3EB0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 44,029 88,058 176,116 308,203 352,232 616,406 704,464 1,232,812 2,465,624 4,931,248

Collatz Trajectory (175 steps to reach 1)

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

4,931,248 2,465,624 1,232,812 616,406 308,203 924,610 462,305 1,386,916 693,458 346,729 1,040,188 520,094 260,047 780,142 390,071 1,170,214 585,107 1,755,322 877,661 2,632,984 1,316,492 658,246 329,123 987,370 493,685 1,481,056 740,528 370,264 185,132 92,566 46,283 138,850 69,425 208,276 104,138 52,069 156,208 78,104 39,052 19,526 9,763 29,290 14,645 43,936 21,968 10,984 5,492 2,746 1,373 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145

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