λ
Prime Ledger

3,652,311

3 × 13 × 71 × 1319
Deficient Odd Composite

3,652,311 has the prime decomposition 3 × 13 × 71 × 1319. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 71 × 1319
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,322,240
Proper Divisor Sum 1,669,929
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3652303 ← → #3652333

Radix Representation

Decimal 3652311
Binary 1101111011101011010111 (22 bits)
Octal 0o15735327
Hexadecimal 0x37BAD7

Divisor Catalog (16)

1 3 13 39 71 213 923 1,319 2,769 3,957 17,147 51,441 93,649 280,947 1,217,437 3,652,311

Collatz Trajectory (195 steps to reach 1)

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

3,652,311 10,956,934 5,478,467 16,435,402 8,217,701 24,653,104 12,326,552 6,163,276 3,081,638 1,540,819 4,622,458 2,311,229 6,933,688 3,466,844 1,733,422 866,711 2,600,134 1,300,067 3,900,202 1,950,101 5,850,304 2,925,152 1,462,576 731,288 365,644 182,822 91,411 274,234 137,117 411,352 205,676 102,838 51,419 154,258 77,129 231,388 115,694 57,847 173,542 86,771 260,314 130,157 390,472 195,236 97,618 48,809 146,428 73,214 36,607 109,822 54,911 164,734 82,367 247,102 123,551 370,654 185,327 555,982 277,991 833,974

More profiles

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