λ
Prime Ledger

4,726,496

25 × 147703
Deficient Even Composite

4,726,496 has the prime decomposition 2^5 × 147703. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 147703
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,305,352
Proper Divisor Sum 4,578,856
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4726483 ← → #4726499

Radix Representation

Decimal 4726496
Binary 10010000001111011100000 (23 bits)
Octal 0o22017340
Hexadecimal 0x481EE0

Divisor Catalog (12)

1 2 4 8 16 32 147,703 295,406 590,812 1,181,624 2,363,248 4,726,496

Collatz Trajectory (87 steps to reach 1)

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

4,726,496 2,363,248 1,181,624 590,812 295,406 147,703 443,110 221,555 664,666 332,333 997,000 498,500 249,250 124,625 373,876 186,938 93,469 280,408 140,204 70,102 35,051 105,154 52,577 157,732 78,866 39,433 118,300 59,150 29,575 88,726 44,363 133,090 66,545 199,636 99,818 49,909 149,728 74,864 37,432 18,716 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833

More profiles

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