λ
Prime Ledger

3,813,982

2 × 773 × 2467
Deficient Even Composite

3,813,982 has the prime decomposition 2 × 773 × 2467. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 773 × 2467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,730,696
Proper Divisor Sum 1,916,714
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3813959 ← → #3813983

Radix Representation

Decimal 3813982
Binary 1110100011001001011110 (22 bits)
Octal 0o16431136
Hexadecimal 0x3A325E

Divisor Catalog (8)

1 2 773 1,546 2,467 4,934 1,906,991 3,813,982

Collatz Trajectory (247 steps to reach 1)

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

3,813,982 1,906,991 5,720,974 2,860,487 8,581,462 4,290,731 12,872,194 6,436,097 19,308,292 9,654,146 4,827,073 14,481,220 7,240,610 3,620,305 10,860,916 5,430,458 2,715,229 8,145,688 4,072,844 2,036,422 1,018,211 3,054,634 1,527,317 4,581,952 2,290,976 1,145,488 572,744 286,372 143,186 71,593 214,780 107,390 53,695 161,086 80,543 241,630 120,815 362,446 181,223 543,670 271,835 815,506 407,753 1,223,260 611,630 305,815 917,446 458,723 1,376,170 688,085 2,064,256 1,032,128 516,064 258,032 129,016 64,508 32,254 16,127 48,382 24,191

More profiles

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