λ
Prime Ledger

4,328,636

22 × 13 × 83243
Deficient Even Composite

4,328,636 has the prime decomposition 2^2 × 13 × 83243. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 83243
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,157,912
Proper Divisor Sum 3,829,276
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4328629 ← → #4328641

Radix Representation

Decimal 4328636
Binary 10000100000110010111100 (23 bits)
Octal 0o20406274
Hexadecimal 0x420CBC

Divisor Catalog (12)

1 2 4 13 26 52 83,243 166,486 332,972 1,082,159 2,164,318 4,328,636

Collatz Trajectory (211 steps to reach 1)

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

4,328,636 2,164,318 1,082,159 3,246,478 1,623,239 4,869,718 2,434,859 7,304,578 3,652,289 10,956,868 5,478,434 2,739,217 8,217,652 4,108,826 2,054,413 6,163,240 3,081,620 1,540,810 770,405 2,311,216 1,155,608 577,804 288,902 144,451 433,354 216,677 650,032 325,016 162,508 81,254 40,627 121,882 60,941 182,824 91,412 45,706 22,853 68,560 34,280 17,140 8,570 4,285 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580

More profiles

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