λ
Prime Ledger

3,762,217

79 × 47623
Deficient Odd Composite

3,762,217 has the prime decomposition 79 × 47623. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 79 × 47623
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,809,920
Proper Divisor Sum 47,703
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3762211 ← → #3762259

Radix Representation

Decimal 3762217
Binary 1110010110100000101001 (22 bits)
Octal 0o16264051
Hexadecimal 0x396829

Divisor Catalog (4)

1 79 47,623 3,762,217

Collatz Trajectory (322 steps to reach 1)

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

3,762,217 11,286,652 5,643,326 2,821,663 8,464,990 4,232,495 12,697,486 6,348,743 19,046,230 9,523,115 28,569,346 14,284,673 42,854,020 21,427,010 10,713,505 32,140,516 16,070,258 8,035,129 24,105,388 12,052,694 6,026,347 18,079,042 9,039,521 27,118,564 13,559,282 6,779,641 20,338,924 10,169,462 5,084,731 15,254,194 7,627,097 22,881,292 11,440,646 5,720,323 17,160,970 8,580,485 25,741,456 12,870,728 6,435,364 3,217,682 1,608,841 4,826,524 2,413,262 1,206,631 3,619,894 1,809,947 5,429,842 2,714,921 8,144,764 4,072,382 2,036,191 6,108,574 3,054,287 9,162,862 4,581,431 13,744,294 6,872,147 20,616,442 10,308,221 30,924,664

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