λ
Prime Ledger

3,727,342

2 × 1863671
Deficient Even Composite

3,727,342 has the prime decomposition 2 × 1863671. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 1863671
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,591,016
Proper Divisor Sum 1,863,674
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3727313 ← → #3727387

Radix Representation

Decimal 3727342
Binary 1110001101111111101110 (22 bits)
Octal 0o16157756
Hexadecimal 0x38DFEE

Divisor Catalog (4)

1 2 1,863,671 3,727,342

Collatz Trajectory (234 steps to reach 1)

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

3,727,342 1,863,671 5,591,014 2,795,507 8,386,522 4,193,261 12,579,784 6,289,892 3,144,946 1,572,473 4,717,420 2,358,710 1,179,355 3,538,066 1,769,033 5,307,100 2,653,550 1,326,775 3,980,326 1,990,163 5,970,490 2,985,245 8,955,736 4,477,868 2,238,934 1,119,467 3,358,402 1,679,201 5,037,604 2,518,802 1,259,401 3,778,204 1,889,102 944,551 2,833,654 1,416,827 4,250,482 2,125,241 6,375,724 3,187,862 1,593,931 4,781,794 2,390,897 7,172,692 3,586,346 1,793,173 5,379,520 2,689,760 1,344,880 672,440 336,220 168,110 84,055 252,166 126,083 378,250 189,125 567,376 283,688 141,844

More profiles

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