λ
Prime Ledger

4,288,734

2 × 33 × 43 × 1847
Abundant Even Composite

4,288,734 has the prime decomposition 2 × 3^3 × 43 × 1847. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 43 × 1847
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,757,440
Proper Divisor Sum 5,468,706
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4288733 ← → #4288747

Radix Representation

Decimal 4288734
Binary 10000010111000011011110 (23 bits)
Octal 0o20270336
Hexadecimal 0x4170DE

Divisor Catalog (32)

1 2 3 6 9 18 27 43 54 86 129 258 387 774 1,161 1,847 2,322 3,694 5,541 11,082 16,623 33,246 49,869 79,421 99,738 158,842 238,263 476,526 714,789 1,429,578 2,144,367 4,288,734

Collatz Trajectory (105 steps to reach 1)

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

4,288,734 2,144,367 6,433,102 3,216,551 9,649,654 4,824,827 14,474,482 7,237,241 21,711,724 10,855,862 5,427,931 16,283,794 8,141,897 24,425,692 12,212,846 6,106,423 18,319,270 9,159,635 27,478,906 13,739,453 41,218,360 20,609,180 10,304,590 5,152,295 15,456,886 7,728,443 23,185,330 11,592,665 34,777,996 17,388,998 8,694,499 26,083,498 13,041,749 39,125,248 19,562,624 9,781,312 4,890,656 2,445,328 1,222,664 611,332 305,666 152,833 458,500 229,250 114,625 343,876 171,938 85,969 257,908 128,954 64,477 193,432 96,716 48,358 24,179 72,538 36,269 108,808 54,404 27,202

More profiles

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