λ
Prime Ledger

4,361,098

2 × 72 × 44501
Deficient Even Composite

4,361,098 has the prime decomposition 2 × 7^2 × 44501. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 44501
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,609,842
Proper Divisor Sum 3,248,744
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4361087 ← → #4361101

Radix Representation

Decimal 4361098
Binary 10000101000101110001010 (23 bits)
Octal 0o20505612
Hexadecimal 0x428B8A

Divisor Catalog (12)

1 2 7 14 49 98 44,501 89,002 311,507 623,014 2,180,549 4,361,098

Collatz Trajectory (48 steps to reach 1)

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

4,361,098 2,180,549 6,541,648 3,270,824 1,635,412 817,706 408,853 1,226,560 613,280 306,640 153,320 76,660 38,330 19,165 57,496 28,748 14,374 7,187 21,562 10,781 32,344 16,172 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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