λ
Prime Ledger

3,328,402

2 × 7 × 11 × 21613
Deficient Even Composite

3,328,402 has the prime decomposition 2 × 7 × 11 × 21613. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 21613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,224,832
Proper Divisor Sum 2,896,430
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3328393 ← → #3328411

Radix Representation

Decimal 3328402
Binary 1100101100100110010010 (22 bits)
Octal 0o14544622
Hexadecimal 0x32C992

Divisor Catalog (16)

1 2 7 11 14 22 77 154 21,613 43,226 151,291 237,743 302,582 475,486 1,664,201 3,328,402

Collatz Trajectory (164 steps to reach 1)

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

3,328,402 1,664,201 4,992,604 2,496,302 1,248,151 3,744,454 1,872,227 5,616,682 2,808,341 8,425,024 4,212,512 2,106,256 1,053,128 526,564 263,282 131,641 394,924 197,462 98,731 296,194 148,097 444,292 222,146 111,073 333,220 166,610 83,305 249,916 124,958 62,479 187,438 93,719 281,158 140,579 421,738 210,869 632,608 316,304 158,152 79,076 39,538 19,769 59,308 29,654 14,827 44,482 22,241 66,724 33,362 16,681 50,044 25,022 12,511 37,534 18,767 56,302 28,151 84,454 42,227 126,682

More profiles

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